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    <link:label id="lab_us-gaap_DefinedBenefitPlanFairValueOfPlanAssets_04228b1d-4b1e-4f3f-b3d7-8a354c1eff16_periodStartLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanFairValueOfPlanAssets" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value of plan assets, beginning of year</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt_8bf81959-df20-4420-b3a3-12e10fc0ce6b_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from long-term debt</link:label>
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    <link:label id="lab_us-gaap_CapitalExpenditureDiscontinuedOperations_f55ceba0-2583-4220-9723-b35442085a40_terseLabel_en-US" xlink:label="lab_us-gaap_CapitalExpenditureDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital expenditures</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesCurrent_label_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Liabilities, Current</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesCurrent" xlink:to="lab_us-gaap_LiabilitiesCurrent" xlink:type="arc" order="1"/>
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    <link:label id="lab_cnp_OtherInformationRelatedToLeasesTableTextBlock_c83840a0-482a-4306-b201-8a1423ac8c14_terseLabel_en-US" xlink:label="lab_cnp_OtherInformationRelatedToLeasesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Information Related To Leases [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanCurtailments_f799d04f-ed59-42bc-8010-dbc0e98f8435_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanCurtailments" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Curtailment</link:label>
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    <link:label id="lab_us-gaap_PerformanceSharesMember_b99b4ef6-b87e-47f9-867d-49c1287615bb_terseLabel_en-US" xlink:label="lab_us-gaap_PerformanceSharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Performance Awards [Member]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PerformanceSharesMember" xlink:to="lab_us-gaap_PerformanceSharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_f550ebbe-d857-46e1-9b76-47352ccd68f6_terseLabel_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prepaid expense and other current assets</link:label>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_label_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prepaid Expense and Other Assets, Current</link:label>
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_8423271e-9892-4feb-b135-ede74896dcc0_periodStartLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted average grant date fair value, nonvested, beginning of period (in dollars per share)</link:label>
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    <link:label id="lab_us-gaap_VariableRateDomain_label_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Variable Rate [Domain]</link:label>
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    <link:label id="lab_us-gaap_AccountingPoliciesAbstract_ab2eeef0-e7c5-4a80-8b1c-f709db8c3625_terseLabel_en-US" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
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    <link:label id="lab_us-gaap_DueToRelatedPartiesCurrent_d599b59b-1d96-4e4d-b6cf-7103e6cd7a73_terseLabel_en-US" xlink:label="lab_us-gaap_DueToRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable - affiliated companies</link:label>
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    <link:label id="lab_us-gaap_OperatingLeasePayments_7b038c83-28a8-49b7-b957-f31ef1fe8306_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasePayments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating cash flows from operating leases included in the measurement of lease liabilities</link:label>
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    <link:label id="lab_cnp_ChicagoStockExchangeMember_documentation_en-US" xlink:label="lab_cnp_ChicagoStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Chicago Stock Exchange [Member]</link:label>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_5125ae41-071b-439c-95c2-99c1d80cd063_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2021</link:label>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_dd0e9290-aafe-425c-abcd-f1d52aeaff7e_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2024</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:to="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CapitalExpendituresforLongLivedAssets_33d61dfc-c2ae-4661-80ad-b9f1164c2088_terseLabel_en-US" xlink:label="lab_cnp_CapitalExpendituresforLongLivedAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Expenditures for Long-Lived Assets</link:label>
    <link:label id="lab_cnp_CapitalExpendituresforLongLivedAssets_label_en-US" xlink:label="lab_cnp_CapitalExpendituresforLongLivedAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital Expenditures for Long-Lived Assets</link:label>
    <link:label id="lab_cnp_CapitalExpendituresforLongLivedAssets_documentation_en-US" xlink:label="lab_cnp_CapitalExpendituresforLongLivedAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital Expenditures for Long-Lived Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CapitalExpendituresforLongLivedAssets" xlink:href="cnp-20201231.xsd#cnp_CapitalExpendituresforLongLivedAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CapitalExpendituresforLongLivedAssets" xlink:to="lab_cnp_CapitalExpendituresforLongLivedAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_dca63826-df03-4d0e-85ad-5d29d424491b_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural gas expenses, including transportation and storage costs (1)</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_14f5db0c-8569-4edb-9f1b-bb7cacc38e1e_verboseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, plant and equipment from parent (2)</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction, Purchases from Related Party</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:to="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_0b512685-e0ef-459f-8e8c-7f247ab0db03_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Assets Measured on a Recurring Basis [Table Text Block]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EquityMethodInvestmentBasisDifference_015b4956-ec5f-455b-909c-fdab965646d4_negatedTerseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentBasisDifference" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy&#8217;s basis difference (1)</link:label>
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    <link:label id="lab_cnp_EquityMethodInvestmentBasisDifference_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentBasisDifference" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This represents the basis difference of an equity method investment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EquityMethodInvestmentBasisDifference" xlink:href="cnp-20201231.xsd#cnp_EquityMethodInvestmentBasisDifference"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentBasisDifference" xlink:to="lab_cnp_EquityMethodInvestmentBasisDifference" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_460a8e0f-57d6-4f3e-8229-0dc6a5e80131_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unrecognized compensation cost related to non-vested performance and stock awards</link:label>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_label_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:to="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization_0c7a660f-7b6b-4075-bb0f-15f863efa951_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Excess deferred income tax amortization</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization" xlink:to="lab_us-gaap_IncomeTaxReconciliationNondeductibleExpenseAmortization" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward_a0b46c40-f89b-4090-b61f-7805f0ff0659_terseLabel_en-US" xlink:label="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Other Accrued Unbilled Revenues [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward_label_en-US" xlink:label="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Other Accrued Unbilled Revenues [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward_documentation_en-US" xlink:label="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Other Accrued Unbilled Revenues [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:href="cnp-20201231.xsd#cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:to="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember_bf62c6b3-c4bd-40c7-80d0-a28a012ef259_terseLabel_en-US" xlink:label="lab_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension and Other Postretirement Plans [Member]</link:label>
    <link:label id="lab_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember_label_en-US" xlink:label="lab_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Pension, Postretirement and Supplemental Plans [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember" xlink:to="lab_us-gaap_OtherPensionPlansPostretirementOrSupplementalPlansDefinedBenefitMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_ac7c557b-a711-4c3d-94be-580426a87a50_verboseLabel_en-US" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">State</link:label>
    <link:label id="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current State and Local Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GuaranteeObligationsMaximumExposure_9cdeb842-9971-4b07-934f-926e8992be91_terseLabel_en-US" xlink:label="lab_us-gaap_GuaranteeObligationsMaximumExposure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantor Obligations, Maximum Exposure, Undiscounted</link:label>
    <link:label id="lab_us-gaap_GuaranteeObligationsMaximumExposure_label_en-US" xlink:label="lab_us-gaap_GuaranteeObligationsMaximumExposure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantor Obligations, Maximum Exposure, Undiscounted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GuaranteeObligationsMaximumExposure" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GuaranteeObligationsMaximumExposure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GuaranteeObligationsMaximumExposure" xlink:to="lab_us-gaap_GuaranteeObligationsMaximumExposure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardAmount_0a1ea744-de42-483a-b3ef-4795dc029f50_terseLabel_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred tax assets tax credit carryforwards</link:label>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardAmount_label_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Credit Carryforward, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxCreditCarryforwardAmount" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxCreditCarryforwardAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxCreditCarryforwardAmount" xlink:to="lab_us-gaap_TaxCreditCarryforwardAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OtherNonqualifiedPlanAbstract_47bd0a9e-6fe4-466f-87e2-a50b27d7eb3f_terseLabel_en-US" xlink:label="lab_cnp_OtherNonqualifiedPlanAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Non-Qualified Plans [Abstract]</link:label>
    <link:label id="lab_cnp_OtherNonqualifiedPlanAbstract_label_en-US" xlink:label="lab_cnp_OtherNonqualifiedPlanAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Nonqualified Plan Abstract</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OtherNonqualifiedPlanAbstract" xlink:href="cnp-20201231.xsd#cnp_OtherNonqualifiedPlanAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OtherNonqualifiedPlanAbstract" xlink:to="lab_cnp_OtherNonqualifiedPlanAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockValue_ae909e6f-5f94-48b8-b28a-9e73a9aa3485_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock</link:label>
    <link:label id="lab_us-gaap_PreferredStockValue_label_en-US" xlink:label="lab_us-gaap_PreferredStockValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Value, Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockValue" xlink:to="lab_us-gaap_PreferredStockValue" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TransactioncostsassociatedwiththeMerger_08944c36-975d-457f-a661-bd217c16f953_terseLabel_en-US" xlink:label="lab_cnp_TransactioncostsassociatedwiththeMerger" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Transaction costs associated with the Merger</link:label>
    <link:label id="lab_cnp_TransactioncostsassociatedwiththeMerger_label_en-US" xlink:label="lab_cnp_TransactioncostsassociatedwiththeMerger" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Transaction costs associated with the Merger</link:label>
    <link:label id="lab_cnp_TransactioncostsassociatedwiththeMerger_documentation_en-US" xlink:label="lab_cnp_TransactioncostsassociatedwiththeMerger" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Costs incurred direct costs of the business combination including legal, accounting, and other costs incurred to consummate the business acquisition.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TransactioncostsassociatedwiththeMerger" xlink:href="cnp-20201231.xsd#cnp_TransactioncostsassociatedwiththeMerger"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TransactioncostsassociatedwiththeMerger" xlink:to="lab_cnp_TransactioncostsassociatedwiththeMerger" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_0c3edaaa-f162-4876-bc71-7144b35d615c_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Diluted earnings (loss) per common share - continuing operations</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (Loss) from Continuing Operations, Per Diluted Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare" xlink:to="lab_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations_5b7447f0-ab90-42c5-95b2-15eda552c1fc_terseLabel_en-US" xlink:label="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization of intangible assets in Non-utility cost of revenues</link:label>
    <link:label id="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations_label_en-US" xlink:label="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization of intangible assets, discontinued operations</link:label>
    <link:label id="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations_documentation_en-US" xlink:label="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization of intangible assets, discontinued operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:href="cnp-20201231.xsd#cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:to="lab_cnp_AmortizationOfIntangibleAssetsDiscontinuedOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ManagementRightsOwnershipPercentage_19805fcb-162f-404a-afc4-5e575038d4d6_terseLabel_en-US" xlink:label="lab_cnp_ManagementRightsOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Management rights ownership percentage</link:label>
    <link:label id="lab_cnp_ManagementRightsOwnershipPercentage_label_en-US" xlink:label="lab_cnp_ManagementRightsOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Management Rights Ownership Percentage</link:label>
    <link:label id="lab_cnp_ManagementRightsOwnershipPercentage_documentation_en-US" xlink:label="lab_cnp_ManagementRightsOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the percentage of management rights in the general partner of Enable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ManagementRightsOwnershipPercentage" xlink:href="cnp-20201231.xsd#cnp_ManagementRightsOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ManagementRightsOwnershipPercentage" xlink:to="lab_cnp_ManagementRightsOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryLiabilityNoncurrent_6ff402a3-ea03-43cd-90e9-28d91d8b363d_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory liabilities</link:label>
    <link:label id="lab_us-gaap_RegulatoryLiabilityNoncurrent_c5eab032-358f-44e3-9d0e-c765cdd01d23_verboseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-current regulatory liabilities</link:label>
    <link:label id="lab_us-gaap_RegulatoryLiabilityNoncurrent_label_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryLiabilityNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryLiabilityNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryLiabilityNoncurrent" xlink:to="lab_us-gaap_RegulatoryLiabilityNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare_51a9859d-aec1-469c-ac60-3e358f273a8d_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Diluted earnings (loss) per common share - discontinued operations</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Income (Loss) from Discontinued Operation, Net of Tax, Per Diluted Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare" xlink:to="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerDilutedShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_4c9721a6-cdca-4aff-8092-ee1e51f70a55_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common stock, $0.01 par value</link:label>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_label_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Par or Stated Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_BenefitPlanContributionsTableTextBlock_b62c7fe8-5880-4f75-898a-87fd7e7c87f9_terseLabel_en-US" xlink:label="lab_cnp_BenefitPlanContributionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit Plan Contributions [Table Text Block]</link:label>
    <link:label id="lab_cnp_BenefitPlanContributionsTableTextBlock_label_en-US" xlink:label="lab_cnp_BenefitPlanContributionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit Plan Contributions [Table Text Block]</link:label>
    <link:label id="lab_cnp_BenefitPlanContributionsTableTextBlock_documentation_en-US" xlink:label="lab_cnp_BenefitPlanContributionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit Plan Contributions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_BenefitPlanContributionsTableTextBlock" xlink:href="cnp-20201231.xsd#cnp_BenefitPlanContributionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_BenefitPlanContributionsTableTextBlock" xlink:to="lab_cnp_BenefitPlanContributionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NonutilityInvestmentsMember_010f826b-5519-44da-add9-fafc6fb33549_terseLabel_en-US" xlink:label="lab_cnp_NonutilityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-utility Investments [Member]</link:label>
    <link:label id="lab_cnp_NonutilityInvestmentsMember_label_en-US" xlink:label="lab_cnp_NonutilityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-utility Investments [Member]</link:label>
    <link:label id="lab_cnp_NonutilityInvestmentsMember_documentation_en-US" xlink:label="lab_cnp_NonutilityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-utility Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NonutilityInvestmentsMember" xlink:href="cnp-20201231.xsd#cnp_NonutilityInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NonutilityInvestmentsMember" xlink:to="lab_cnp_NonutilityInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree_6f89ca4d-27a6-4fe0-b4e6-77eabe632e32_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension benefit payments 2022</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Expected Future Benefit Payment, Year Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree" xlink:to="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsYearThree" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherLiabilitiesNoncurrent_0908c45e-c229-41d8-b9d2-bac91c044eff_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLiabilitiesNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_OtherLiabilitiesNoncurrent_label_en-US" xlink:label="lab_us-gaap_OtherLiabilitiesNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Liabilities, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilitiesNoncurrent" xlink:to="lab_us-gaap_OtherLiabilitiesNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_82685fdd-6885-40f4-aecd-4447c32a7c1b_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other comprehensive income (loss):</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract" xlink:to="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOperatingActivitiesSegmentAxis_ae7a2ac4-74e1-4261-860e-3783d4383b15_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOperatingActivitiesSegmentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Activities [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementOperatingActivitiesSegmentAxis_label_en-US" xlink:label="lab_us-gaap_StatementOperatingActivitiesSegmentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Activities [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOperatingActivitiesSegmentAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOperatingActivitiesSegmentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOperatingActivitiesSegmentAxis" xlink:to="lab_us-gaap_StatementOperatingActivitiesSegmentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MarketableSecuritiesCurrent_8d2cb248-d1c9-4623-bbd2-10cf025ee9d6_terseLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment in marketable securities</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesCurrent_6b6c7f4a-0631-4f17-9b50-cfb8d04be2be_periodStartLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesCurrent" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ZENS-Related Securities</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesCurrent_ae313979-9b13-4680-a816-5828388f0636_periodEndLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesCurrent" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ZENS-Related Securities</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesCurrent_label_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Marketable Securities, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketableSecuritiesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MarketableSecuritiesCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketableSecuritiesCurrent" xlink:to="lab_us-gaap_MarketableSecuritiesCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PercentageReductionofDividendorDistributionAmount_abb50ee5-6cae-4813-b5a5-fda9d29d9df5_terseLabel_en-US" xlink:label="lab_cnp_PercentageReductionofDividendorDistributionAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage Reduction of Dividend or Distribution Amount</link:label>
    <link:label id="lab_cnp_PercentageReductionofDividendorDistributionAmount_label_en-US" xlink:label="lab_cnp_PercentageReductionofDividendorDistributionAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage Reduction of Dividend or Distribution Amount</link:label>
    <link:label id="lab_cnp_PercentageReductionofDividendorDistributionAmount_documentation_en-US" xlink:label="lab_cnp_PercentageReductionofDividendorDistributionAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage Reduction of Dividend or Distribution Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PercentageReductionofDividendorDistributionAmount" xlink:href="cnp-20201231.xsd#cnp_PercentageReductionofDividendorDistributionAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PercentageReductionofDividendorDistributionAmount" xlink:to="lab_cnp_PercentageReductionofDividendorDistributionAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ReplacementFundRequirements_9ff322e5-b416-485c-a6ec-966102a7c36c_verboseLabel_en-US" xlink:label="lab_cnp_ReplacementFundRequirements" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Replacement fund requirements to be satisfied in 2018</link:label>
    <link:label id="lab_cnp_ReplacementFundRequirements_label_en-US" xlink:label="lab_cnp_ReplacementFundRequirements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Replacement Fund Requirements</link:label>
    <link:label id="lab_cnp_ReplacementFundRequirements_documentation_en-US" xlink:label="lab_cnp_ReplacementFundRequirements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This element represents those amounts to be set aside for the repair and replacement of real or personal property in the foreseen future. Such amount may be satisfied by certification of property additions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ReplacementFundRequirements" xlink:href="cnp-20201231.xsd#cnp_ReplacementFundRequirements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ReplacementFundRequirements" xlink:to="lab_cnp_ReplacementFundRequirements" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TransitionAndSystemRestorationBondsMember_ea5d294a-71af-4258-a3b7-aef467440387_terseLabel_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Securitization Bonds [Member]</link:label>
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    <link:label id="lab_cnp_ElectricMember_documentation_en-US" xlink:label="lab_cnp_ElectricMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric reportable segment consists of electric transmission and distribution services in the Texas Gulf Coast area and electric transmission and distribution services primarily to southwestern Indiana and includes power generation and wholesale power operations.</link:label>
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    <link:label id="lab_us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromAcquisition_b8724bea-4052-47e4-8b0c-16adc9ec7fa3_terseLabel_en-US" xlink:label="lab_us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromAcquisition" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unrecognized tax benefits assumed through the Merger</link:label>
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    <link:label id="lab_us-gaap_OtherLongTermDebtCurrent_6a0a0ae7-a496-4b77-9bc7-d94879698fbf_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLongTermDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current portion of other long-term debt</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_cnp_DollarFaceAmountOfIndividualNote" xlink:href="cnp-20201231.xsd#cnp_DollarFaceAmountOfIndividualNote"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DollarFaceAmountOfIndividualNote" xlink:to="lab_cnp_DollarFaceAmountOfIndividualNote" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanInterestCost_eec5c625-b97d-4f74-9be3-d51ba2baf003_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanInterestCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest cost (2)</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanInterestCost_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanInterestCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Interest Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanInterestCost" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanInterestCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanInterestCost" xlink:to="lab_us-gaap_DefinedBenefitPlanInterestCost" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeAxis_77652d5b-f142-4d9a-8675-660b5aeca327_terseLabel_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Range [Axis]</link:label>
    <link:label id="lab_srt_RangeAxis_label_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityFundsMember_56786f3d-9c50-481d-a644-3c8a20d7cd6c_terseLabel_en-US" xlink:label="lab_us-gaap_EquityFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Mutual funds [Member]</link:label>
    <link:label id="lab_us-gaap_EquityFundsMember_label_en-US" xlink:label="lab_us-gaap_EquityFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Funds [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityFundsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityFundsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityFundsMember" xlink:to="lab_us-gaap_EquityFundsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity_3b5be289-ad85-43c6-ad3f-35dc4496f8ce_terseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred equity</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity_label_en-US" xlink:label="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Summarized Financial Information, Preferred Equity</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of preferred equity attributable to the equity method investment of the entity.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:href="cnp-20201231.xsd#cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:to="lab_cnp_EquityMethodInvestmentSummarizedFinancialInformationPreferredEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOther_54fae719-b939-48b3-bfbc-c848fff015f8_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOther" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOther_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOther" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Income, Other</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOther" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestIncomeOther"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOther" xlink:to="lab_us-gaap_InterestIncomeOther" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_WeightedAverageMember_ece39ced-9b5d-4c52-b21d-a3b327da5477_terseLabel_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted Average [Member]</link:label>
    <link:label id="lab_srt_WeightedAverageMember_label_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted Average [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_WeightedAverageMember" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_WeightedAverageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_WeightedAverageMember" xlink:to="lab_srt_WeightedAverageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MarketableSecuritiesPolicy_98bf0d92-8703-4b35-9264-5d31f1f41525_terseLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesPolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investments in Equity Securities (CenterPoint Energy and CERC)</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesPolicy_label_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesPolicy" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Marketable Securities, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketableSecuritiesPolicy" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MarketableSecuritiesPolicy"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketableSecuritiesPolicy" xlink:to="lab_us-gaap_MarketableSecuritiesPolicy" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntitySmallBusiness_5886f264-e3ab-42bd-9401-3164bb3ae818_terseLabel_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Small Business</link:label>
    <link:label id="lab_dei_EntitySmallBusiness_label_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Small Business</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntitySmallBusiness"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntitySmallBusiness" xlink:to="lab_dei_EntitySmallBusiness" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_087d37ce-edf2-4bd1-9a72-e6e0bd9925ea_terseLabel_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Principles of Consolidation</link:label>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConsolidationPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:to="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RatioOfIndebtednessToNetCapital1_a84655a9-744f-4dfb-8d1a-c821a4e8dadf_terseLabel_en-US" xlink:label="lab_us-gaap_RatioOfIndebtednessToNetCapital1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Ratio of indebtedness to net capital</link:label>
    <link:label id="lab_us-gaap_RatioOfIndebtednessToNetCapital1_label_en-US" xlink:label="lab_us-gaap_RatioOfIndebtednessToNetCapital1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Ratio of Indebtedness to Net Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RatioOfIndebtednessToNetCapital1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RatioOfIndebtednessToNetCapital1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RatioOfIndebtednessToNetCapital1" xlink:to="lab_us-gaap_RatioOfIndebtednessToNetCapital1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseVariableLeaseIncome_4c85ca3b-8215-4dae-879a-6314baffedcf_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseVariableLeaseIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Variable lease income</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseVariableLeaseIncome_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseVariableLeaseIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Variable Lease Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseVariableLeaseIncome" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseVariableLeaseIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseVariableLeaseIncome" xlink:to="lab_us-gaap_OperatingLeaseVariableLeaseIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems_68ee7983-c955-4c69-a946-97d9b834f53b_terseLabel_en-US" xlink:label="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Regulatory Assets and Liabilities [Line Items]</link:label>
    <link:label id="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems_label_en-US" xlink:label="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule Of Regulatory Assets And Liabilities [Line Items]</link:label>
    <link:label id="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems_documentation_en-US" xlink:label="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">-- None. No documentation exists for this element. --</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:href="cnp-20201231.xsd#cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:to="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_571b3bfb-2ab5-44a9-bca6-956fca5c17ea_terseLabel_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-term Borrowings and Long-term Debt [Text Block]</link:label>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureTextBlock" xlink:to="lab_us-gaap_DebtDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_63d09b43-4062-4ad5-b864-5dfd0fa46268_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value of plan assets measurement [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_f2f07479-4440-4396-b4bd-6f9510e43946_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Measurements, Fair Value Hierarchy [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock_04ee6591-98bc-41c6-a7d2-0f07ad8025d9_terseLabel_en-US" xlink:label="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Target Allocation of Plan Assets [Table Text Block]</link:label>
    <link:label id="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock_label_en-US" xlink:label="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Target Allocation of Plan Assets [Table Text Block]</link:label>
    <link:label id="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock_documentation_en-US" xlink:label="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tabular presentation of the weighted average allocation targets maintained</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:href="cnp-20201231.xsd#cnp_TargetAllocationofPlanAssetsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:to="lab_cnp_TargetAllocationofPlanAssetsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue_c0a4e994-61aa-4da2-ae66-b36428375e35_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenues</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Revenue</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FirstMortgageMember_8ab5a4a6-7ab8-49bf-8188-43f336ca1204_terseLabel_en-US" xlink:label="lab_us-gaap_FirstMortgageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">First Mortgage [Member]</link:label>
    <link:label id="lab_us-gaap_FirstMortgageMember_label_en-US" xlink:label="lab_us-gaap_FirstMortgageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">First Mortgage [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FirstMortgageMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FirstMortgageMember"/>
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    <link:label id="lab_us-gaap_CostOfRevenue_7c6503ee-63c0-4952-8ef7-74c471d2aa8a_terseLabel_en-US" xlink:label="lab_us-gaap_CostOfRevenue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cost of sales, excluding depreciation and amortization</link:label>
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    <link:label id="lab_us-gaap_SeriesBPreferredStockMember_739be0f6-dd60-44b1-af92-7d59f1b4bb4a_terseLabel_en-US" xlink:label="lab_us-gaap_SeriesBPreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Series B Preferred Stock [Member]</link:label>
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    <link:label id="lab_cnp_Unprotectedexcessdeferredincometax_7bb62563-09f0-4927-902c-cf25fecb9784_terseLabel_en-US" xlink:label="lab_cnp_Unprotectedexcessdeferredincometax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unprotected excess deferred income tax</link:label>
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    <link:label id="lab_us-gaap_IncrementalCommonSharesAttributableToConversionOfPreferredStock_18c5aa90-9076-4004-a98f-4beaa8965fc1_terseLabel_en-US" xlink:label="lab_us-gaap_IncrementalCommonSharesAttributableToConversionOfPreferredStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock</link:label>
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    <link:label id="lab_us-gaap_LeaseCostTableTextBlock_5871e98e-5aea-4051-8a06-dad3ba2003d6_terseLabel_en-US" xlink:label="lab_us-gaap_LeaseCostTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease, Cost [Table Text Block]</link:label>
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    <link:label id="lab_cnp_MakeWholeAmount_label_en-US" xlink:label="lab_cnp_MakeWholeAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Make-Whole Amount</link:label>
    <link:label id="lab_cnp_MakeWholeAmount_documentation_en-US" xlink:label="lab_cnp_MakeWholeAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Make-Whole Amount</link:label>
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    <link:label id="lab_dei_ExchangeDomain_542d0b09-edc6-4697-82c5-44324748df6c_terseLabel_en-US" xlink:label="lab_dei_ExchangeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Exchange [Domain]</link:label>
    <link:label id="lab_dei_ExchangeDomain_label_en-US" xlink:label="lab_dei_ExchangeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Exchange [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_ExchangeDomain" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_ExchangeDomain"/>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_030165e2-a403-41b0-95c2-0be2d9757b3d_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2023</link:label>
    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_label_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAssetsNoncurrent" xlink:to="lab_us-gaap_OtherAssetsNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentUnderlyingEquityInNetAssets_ac0a9627-9888-4ebd-afd8-5c7bb00fc9d4_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentUnderlyingEquityInNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy&#8217;s ownership interest in Enable partners&#8217; equity</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentUnderlyingEquityInNetAssets_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentUnderlyingEquityInNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Underlying Equity in Net Assets</link:label>
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    <link:label id="lab_us-gaap_FinancialLiabilitiesFairValueDisclosure_9a56b799-1c5c-4984-8932-3d90d388d4c1_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialLiabilitiesFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total liabilities</link:label>
    <link:label id="lab_us-gaap_FinancialLiabilitiesFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_FinancialLiabilitiesFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financial Liabilities Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialLiabilitiesFairValueDisclosure" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FinancialLiabilitiesFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialLiabilitiesFairValueDisclosure" xlink:to="lab_us-gaap_FinancialLiabilitiesFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskTable_a23979a6-d517-4195-a61b-fc4078b6c1d0_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk [Table]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskTable_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConcentrationRiskTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskTable" xlink:to="lab_us-gaap_ConcentrationRiskTable" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperations_48350b21-0b2a-442a-94f8-8a67f442f1cb_totalLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperations" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income From Continuing Operations</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
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    <link:label id="lab_cnp_IGCMember_label_en-US" xlink:label="lab_cnp_IGCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">IGC [Member]</link:label>
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    <link:label id="lab_cnp_OtherEmployeeMattersTableTextBlock_4b8f7b4e-d60c-4162-92a4-3b3d6a03a358_terseLabel_en-US" xlink:label="lab_cnp_OtherEmployeeMattersTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Employee Matters [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_Assets_8c4b6728-c24e-4e2a-95eb-5dd280b7698b_totalLabel_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total Assets</link:label>
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    <link:label id="lab_us-gaap_Assets_label_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets</link:label>
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    <link:label id="lab_us-gaap_CostOfSalesMember_bf731804-063d-4e5e-980b-9b89a8c10e8a_terseLabel_en-US" xlink:label="lab_us-gaap_CostOfSalesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cost of Sales [Member]</link:label>
    <link:label id="lab_us-gaap_CostOfSalesMember_1e980919-d844-44ac-ab5c-f08eec222269_verboseLabel_en-US" xlink:label="lab_us-gaap_CostOfSalesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-utility cost of revenues [Member]</link:label>
    <link:label id="lab_us-gaap_CostOfSalesMember_label_en-US" xlink:label="lab_us-gaap_CostOfSalesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cost of Sales [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfSalesMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CostOfSalesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CostOfSalesMember" xlink:to="lab_us-gaap_CostOfSalesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract_e3e881c2-7044-4e6d-8900-8ce124f51604_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term debt:</link:label>
    <link:label id="lab_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract_label_en-US" xlink:label="lab_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, by Current and Noncurrent [Abstract]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract" xlink:to="lab_us-gaap_LongTermDebtByCurrentAndNoncurrentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits_8b58c0ef-bb3e-4c54-8d08-1f73d73cdcf2_terseLabel_en-US" xlink:label="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Maximum Number Of Times Annual Salary Included In Severance Benefits</link:label>
    <link:label id="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits_label_en-US" xlink:label="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Maximum Number Of Times Annual Salary Included In Severance Benefits</link:label>
    <link:label id="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits_documentation_en-US" xlink:label="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Maximum number of times annual base salary included in severance benefits for certain officers in a change of control (in number of times)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:href="cnp-20201231.xsd#cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:to="lab_cnp_MaximumNumberOfTimesAnnualSalaryIncludedInSeveranceBenefits" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DerivativeComponentOfZensAbstract_1aa67903-1623-4773-bdb0-8a197407c0de_verboseLabel_en-US" xlink:label="lab_cnp_DerivativeComponentOfZensAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative component of ZENS</link:label>
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    <link:label id="lab_cnp_WeatherHedgeTerm_609f10a2-2350-4f4e-b9b0-23fdd8350a5b_terseLabel_en-US" xlink:label="lab_cnp_WeatherHedgeTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weather Hedge Term</link:label>
    <link:label id="lab_cnp_WeatherHedgeTerm_label_en-US" xlink:label="lab_cnp_WeatherHedgeTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weather Hedge Term</link:label>
    <link:label id="lab_cnp_WeatherHedgeTerm_documentation_en-US" xlink:label="lab_cnp_WeatherHedgeTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period of time used as the basis for weather hedges entered into by the company.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WeatherHedgeTerm" xlink:href="cnp-20201231.xsd#cnp_WeatherHedgeTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WeatherHedgeTerm" xlink:to="lab_cnp_WeatherHedgeTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EnvironmentalRemediationSiteDomain_eecd1687-e138-403a-aaef-c1ae57c23600_terseLabel_en-US" xlink:label="lab_us-gaap_EnvironmentalRemediationSiteDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental Remediation Site [Domain]</link:label>
    <link:label id="lab_us-gaap_EnvironmentalRemediationSiteDomain_label_en-US" xlink:label="lab_us-gaap_EnvironmentalRemediationSiteDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental Remediation Site [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EnvironmentalRemediationSiteDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EnvironmentalRemediationSiteDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EnvironmentalRemediationSiteDomain" xlink:to="lab_us-gaap_EnvironmentalRemediationSiteDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdditionalFairValueElementsAbstract_62cc2bcb-65b2-45a5-bbed-6c779a6306aa_terseLabel_en-US" xlink:label="lab_us-gaap_AdditionalFairValueElementsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimated Fair Value of Financial Instruments</link:label>
    <link:label id="lab_us-gaap_AdditionalFairValueElementsAbstract_label_en-US" xlink:label="lab_us-gaap_AdditionalFairValueElementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional Fair Value Elements [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalFairValueElementsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdditionalFairValueElementsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdditionalFairValueElementsAbstract" xlink:to="lab_us-gaap_AdditionalFairValueElementsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherIntangibleAssetsMember_03b7d2aa-9c30-4a4e-abb6-2f24549df29b_terseLabel_en-US" xlink:label="lab_us-gaap_OtherIntangibleAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other [Member]</link:label>
    <link:label id="lab_us-gaap_OtherIntangibleAssetsMember_label_en-US" xlink:label="lab_us-gaap_OtherIntangibleAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Intangible Assets [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherIntangibleAssetsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherIntangibleAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherIntangibleAssetsMember" xlink:to="lab_us-gaap_OtherIntangibleAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_00599499-232b-4611-a99e-bde54eee8f6d_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale_acec4b64-665c-4cfb-9980-e592b0465fce_terseLabel_en-US" xlink:label="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill impairment and loss from reclassification to held for sale</link:label>
    <link:label id="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale_label_en-US" xlink:label="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill impairment and loss from reclassification to held for sale</link:label>
    <link:label id="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale_documentation_en-US" xlink:label="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill impairment and loss from reclassification to held for sale</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:href="cnp-20201231.xsd#cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:to="lab_cnp_Goodwillimpairmentandlossfromreclassificationtoheldforsale" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued_4990570c-2ee9-4914-9c4a-814e9faa2a1e_terseLabel_en-US" xlink:label="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional first mortgage bonds and general mortgage bonds that could be issued</link:label>
    <link:label id="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued_label_en-US" xlink:label="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional first mortgage bonds and general mortgage bonds that could be issued</link:label>
    <link:label id="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued_documentation_en-US" xlink:label="lab_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of additional first mortgage bonds and general mortgage bonds that could be issued on the basis of retired bonds and 70% of property additions as of the balance sheet date.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued" xlink:href="cnp-20201231.xsd#cnp_Additionalfirstmortgagebondsandgeneralmortgagebondsthatcouldbeissued"/>
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    <link:label id="lab_cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear_fcb7e103-736f-488e-bd15-77258b644210_terseLabel_en-US" xlink:label="lab_cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prescription drug cost trend rate assumed for the next year - Pre-65</link:label>
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    <link:label id="lab_cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear_documentation_en-US" xlink:label="lab_cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The assumed prescription drug cost trend rate for the next year used to measure the expected cost of benefits covered by the plan (gross eligible charges). This is based upon the annual rate of change in the cost of prescription drugs currently provided by the postretirement benefit plan, due to factors other than changes in the composition of the plan population by age and dependency status.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear" xlink:href="cnp-20201231.xsd#cnp_DefinedBenefitPlanPrescriptionDrugCostTrendRateAssumedForNextFiscalYear"/>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationWeightedAverageInterestCreditingRate_2bbcf971-9e1d-44d5-80b2-5f1c8101c7c3_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationWeightedAverageInterestCreditingRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest crediting rate</link:label>
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    <link:label id="lab_us-gaap_IncomeTaxReconciliationDeductionsOther_cd8cf9f1-f8c1-4f22-9dd0-0a5b63582f7e_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxReconciliationDeductionsOther" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill impairment</link:label>
    <link:label id="lab_us-gaap_IncomeTaxReconciliationDeductionsOther_label_en-US" xlink:label="lab_us-gaap_IncomeTaxReconciliationDeductionsOther" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Deduction, Other, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReconciliationDeductionsOther" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxReconciliationDeductionsOther"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxReconciliationDeductionsOther" xlink:to="lab_us-gaap_IncomeTaxReconciliationDeductionsOther" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RetirementPlanTypeAxis_3162c776-02a9-4489-b860-0fcdfa342497_terseLabel_en-US" xlink:label="lab_us-gaap_RetirementPlanTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retirement Plan Type [Axis]</link:label>
    <link:label id="lab_us-gaap_RetirementPlanTypeAxis_label_en-US" xlink:label="lab_us-gaap_RetirementPlanTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retirement Plan Type [Axis]</link:label>
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    <link:label id="lab_cnp_ElectricTransmissionDistributionMember_4a33384c-9317-4448-9244-9e60c7c120f3_terseLabel_en-US" xlink:label="lab_cnp_ElectricTransmissionDistributionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric Transmission &amp; Distribution [Member]</link:label>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_26d91352-e7d4-455a-bffd-0cb83494afa1_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Less: Interest</link:label>
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    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_c1d45e84-9bc3-4d90-a390-812db6122d33_terseLabel_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of surety bond obligations outstanding</link:label>
    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_label_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of surety bond obligations outstanding</link:label>
    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_documentation_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the absolute number of surety bonds the wholly owned subsidiary has outstanding in its role as general contractor</link:label>
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    <link:label id="lab_us-gaap_PurchaseObligationDueInFifthYear_0e4ab7a3-f194-4c4d-bcaa-697d394cffa3_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInFifthYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2025</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationDueInFifthYear_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInFifthYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Purchase Obligation, to be Paid, Year Five</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
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    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_ec2f762c-29cd-4055-aef6-aaaba9892880_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueInputsLevel1Member"/>
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    <link:label id="lab_us-gaap_RegulatedOperationsAbstract_532687fe-c318-4a48-a41d-0c61831048cd_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatedOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulated Operations [Abstract]</link:label>
    <link:label id="lab_us-gaap_RegulatedOperationsAbstract_label_en-US" xlink:label="lab_us-gaap_RegulatedOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulated Operations [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatedOperationsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatedOperationsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatedOperationsAbstract" xlink:to="lab_us-gaap_RegulatedOperationsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInInventories_50400ede-d45d-41b6-a905-3ff48d45c1a7_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInInventories" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Inventory</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInInventories_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInInventories" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Inventories</link:label>
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    <link:label id="lab_us-gaap_DebtWeightedAverageInterestRate_595c4c45-adec-4cf1-a968-1b4dfbea0a0a_terseLabel_en-US" xlink:label="lab_us-gaap_DebtWeightedAverageInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt, Weighted Average Interest Rate</link:label>
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    <link:label id="lab_cnp_EnvironmentalImprovementRevenueBondsMountVernon0875Series2015Member_17ab856e-f898-4320-acfe-4d4a0f06259c_terseLabel_en-US" xlink:label="lab_cnp_EnvironmentalImprovementRevenueBondsMountVernon0875Series2015Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental Improvement Revenue Bonds, Mount Vernon, 0.875%, Series 2015 [Member]</link:label>
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    <link:label id="lab_us-gaap_NumberOfStatesInWhichEntityOperates_7304abef-49bc-405b-8f0e-3de68f3d20ca_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfStatesInWhichEntityOperates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of states in which entity operates</link:label>
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    <link:label id="lab_us-gaap_PreferredUnitsByNameAxis_28e1fbde-a038-477e-9c71-f479a60d277d_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredUnitsByNameAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Units by Name [Axis]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredUnitsByNameAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredUnitsByNameAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredUnitsByNameAxis" xlink:to="lab_us-gaap_PreferredUnitsByNameAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_38247d4b-9981-4060-b262-bba07048e964_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Summary of nonvested shares [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryAgencyAxis_4070022b-5352-475d-b1cd-aa20a2f1f51c_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAgencyAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Agency [Axis]</link:label>
    <link:label id="lab_us-gaap_RegulatoryAgencyAxis_label_en-US" xlink:label="lab_us-gaap_RegulatoryAgencyAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Agency [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryAgencyAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryAgencyAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAgencyAxis" xlink:to="lab_us-gaap_RegulatoryAgencyAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DepreciationAndAmortizationTableTextBlock_7dcb7b53-6f49-4740-a0c2-181c25fff12e_verboseLabel_en-US" xlink:label="lab_cnp_DepreciationAndAmortizationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and Amortization [Table Text Block]</link:label>
    <link:label id="lab_cnp_DepreciationAndAmortizationTableTextBlock_label_en-US" xlink:label="lab_cnp_DepreciationAndAmortizationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation And Amortization [Table Text Block]</link:label>
    <link:label id="lab_cnp_DepreciationAndAmortizationTableTextBlock_documentation_en-US" xlink:label="lab_cnp_DepreciationAndAmortizationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This element can be used to encapsulate the entire disclosure for depreciation and amortization expense for the period.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DepreciationAndAmortizationTableTextBlock" xlink:href="cnp-20201231.xsd#cnp_DepreciationAndAmortizationTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DepreciationAndAmortizationTableTextBlock" xlink:to="lab_cnp_DepreciationAndAmortizationTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain_1ff16647-315c-420f-b4a8-851070b7b703_terseLabel_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments [Domain]</link:label>
    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain_label_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments [Domain]</link:label>
    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain_documentation_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">[Domain] for Effective Income Tax Rate Reconciliation, Other Adjustments [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:href="cnp-20201231.xsd#cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:to="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdditionalPaidInCapitalMember_e97ed098-aa6b-4075-89f6-14688f7c4d2e_terseLabel_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapitalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional Paid-in Capital [Member]</link:label>
    <link:label id="lab_us-gaap_AdditionalPaidInCapitalMember_label_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapitalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional Paid-in Capital [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapitalMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdditionalPaidInCapitalMember" xlink:to="lab_us-gaap_AdditionalPaidInCapitalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments_cddb05c2-91c7-4a2d-b1ac-b407564f036c_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income allocated to preferred shareholders</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments_c9adb7bf-7bba-44b5-bd1a-dae2b9902641_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Less: Preferred stock dividend requirement (Note 13)</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments_label_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock Dividends and Other Adjustments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockDividendsAndOtherAdjustments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:to="lab_us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NonoperatingIncomeExpenseMember_4ca6a900-36ea-4762-b8e6-363cd3b6da60_terseLabel_en-US" xlink:label="lab_us-gaap_NonoperatingIncomeExpenseMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gains (Losses) in Other Income (Expense) [Member]</link:label>
    <link:label id="lab_us-gaap_NonoperatingIncomeExpenseMember_label_en-US" xlink:label="lab_us-gaap_NonoperatingIncomeExpenseMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Nonoperating Income (Expense) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpenseMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NonoperatingIncomeExpenseMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NonoperatingIncomeExpenseMember" xlink:to="lab_us-gaap_NonoperatingIncomeExpenseMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_a8db8611-4ae9-42cf-ab9c-7cb78606dcff_terseLabel_en-US" xlink:label="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other, net</link:label>
    <link:label id="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_label_en-US" xlink:label="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Operating Activities, Cash Flow Statement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherOperatingActivitiesCashFlowStatement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:to="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PurchaseObligationDueInSecondYear_bb09810a-e656-4e56-85f9-6ad1c789de0b_verboseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInSecondYear" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2022</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationDueInSecondYear_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInSecondYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Purchase Obligation, to be Paid, Year Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PurchaseObligationDueInSecondYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PurchaseObligationDueInSecondYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PurchaseObligationDueInSecondYear" xlink:to="lab_us-gaap_PurchaseObligationDueInSecondYear" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_6e007b7b-1fb6-4a28-be45-a9004698b472_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByAssetClassAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByAssetClassAxis" xlink:to="lab_us-gaap_FairValueByAssetClassAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare_18528e69-0f9f-4f50-8fbd-9d1e42b68da3_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basic earnings (loss) per common share - continuing operations</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (Loss) from Continuing Operations, Per Basic Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsPerBasicShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare" xlink:to="lab_us-gaap_IncomeLossFromContinuingOperationsPerBasicShare" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_858029e1-cd7a-4cb9-b4a7-6506f065fff1_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accrued unbilled revenues</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accrued Unbilled Revenues</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accrued Unbilled Revenues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:href="cnp-20201231.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:to="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis_f3c58a05-8590-4062-8499-a85671a55c55_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]</link:label>
    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis_label_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis" xlink:to="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_cc070c92-0e81-46c9-9fa1-08112567c8c9_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_d2b84559-4b1f-48d1-9f6d-812f536cbafd_periodStartLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, beginning of year</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_fac4a60d-f422-4c17-9d36-143d20a93d69_periodEndLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, end of year</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesOutstanding" xlink:to="lab_us-gaap_CommonStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestments_67c22cd2-f18d-4da5-b756-4a6be7e05813_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment in unconsolidated affiliates</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestments_476b0637-a7f6-458e-9b1c-d10a06d88cae_verboseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestments" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy&#8217;s equity method investment in Enable</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestments_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestments" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestments" xlink:to="lab_us-gaap_EquityMethodInvestments" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_9fe27d10-a9df-4c86-8b6d-8ab05e800b5f_terseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revolving Credit Facility [Member]</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfGoodwillTable_0bcdec32-dc90-4966-bc7f-f02627f471d7_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfGoodwillTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Goodwill [Table]</link:label>
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    <link:label id="lab_cnp_ERCOTLoanCOVID19ERP_7520baa6-b7e2-496b-9cd7-67f03b1750c6_terseLabel_en-US" xlink:label="lab_cnp_ERCOTLoanCOVID19ERP" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ERCOT Loan, COVID-19 ERP</link:label>
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    <link:label id="lab_cnp_ERCOTLoanCOVID19ERP_documentation_en-US" xlink:label="lab_cnp_ERCOTLoanCOVID19ERP" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ERCOT Loan, COVID-19 ERP</link:label>
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    <link:label id="lab_us-gaap_BusinessCombinationIntegrationRelatedCosts_8467b6c3-3079-44c7-8b77-2a1d7225ecbb_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationIntegrationRelatedCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Integration costs</link:label>
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    <link:label id="lab_cnp_Numberofdaysuntilcommercialpapermaturity_cff8682a-a8f5-4d5b-84a7-2f9dfb2f94ae_terseLabel_en-US" xlink:label="lab_cnp_Numberofdaysuntilcommercialpapermaturity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of days until commercial paper maturity</link:label>
    <link:label id="lab_cnp_Numberofdaysuntilcommercialpapermaturity_label_en-US" xlink:label="lab_cnp_Numberofdaysuntilcommercialpapermaturity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of days until commercial paper maturity</link:label>
    <link:label id="lab_cnp_Numberofdaysuntilcommercialpapermaturity_documentation_en-US" xlink:label="lab_cnp_Numberofdaysuntilcommercialpapermaturity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of days until commercial paper maturity.</link:label>
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    <link:label id="lab_us-gaap_NetRegulatoryAssets_dc2d3b3f-5f2c-4f2d-a3ee-e06914c913ff_totalLabel_en-US" xlink:label="lab_us-gaap_NetRegulatoryAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total regulatory assets and liabilities, net</link:label>
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    <link:label id="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_8dabad2c-f125-440c-b826-ff75aa127582_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Acquisitions, net of cash acquired</link:label>
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    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_3c458a91-30b5-41b0-bdbb-ea689c7bdb24_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Shares Authorized</link:label>
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    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord_3f11e18c-c4c4-471d-884e-acd55180dce0_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Record Date</link:label>
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    <link:label id="lab_cnp_SiteContingencyYearstoResolveContingency_bd3f93bc-81c0-488d-b9e9-02daaca1b00c_terseLabel_en-US" xlink:label="lab_cnp_SiteContingencyYearstoResolveContingency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Years to resolve contingency</link:label>
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    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentGross_93a96aa1-9d4b-4018-a92a-33aa54d2eeb2_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentGross" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment, Gross</link:label>
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    <link:label id="lab_cnp_InventoryWriteDownDiscontinuedOperations_label_en-US" xlink:label="lab_cnp_InventoryWriteDownDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Inventory Write-down, discontinued operations</link:label>
    <link:label id="lab_cnp_InventoryWriteDownDiscontinuedOperations_documentation_en-US" xlink:label="lab_cnp_InventoryWriteDownDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Inventory Write-down, discontinued operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_InventoryWriteDownDiscontinuedOperations" xlink:href="cnp-20201231.xsd#cnp_InventoryWriteDownDiscontinuedOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_InventoryWriteDownDiscontinuedOperations" xlink:to="lab_cnp_InventoryWriteDownDiscontinuedOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember_ec0cf2f9-48f8-47c3-9132-48b23bedf533_terseLabel_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements and construction backlog [Member]</link:label>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember_label_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements and construction backlog [Member]</link:label>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember_documentation_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements and construction backlog [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:href="cnp-20201231.xsd#cnp_OperationandmaintenanceagreementsandconstructionbacklogMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:to="lab_cnp_OperationandmaintenanceagreementsandconstructionbacklogMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock_4dc68e73-1778-458f-891d-bdc774621455_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Finite-Lived Intangible Assets Acquired as Part of Business Combination [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Finite-Lived Intangible Assets Acquired as Part of Business Combination [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock" xlink:to="lab_us-gaap_ScheduleOfFiniteLivedIntangibleAssetsAcquiredAsPartOfBusinessCombinationTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxAuthorityDomain_27d58e9e-3eb3-4460-b5b5-b3aa9a3c6308_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxAuthorityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax Authority [Domain]</link:label>
    <link:label id="lab_us-gaap_IncomeTaxAuthorityDomain_label_en-US" xlink:label="lab_us-gaap_IncomeTaxAuthorityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax Authority [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxAuthorityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxAuthorityDomain" xlink:to="lab_us-gaap_IncomeTaxAuthorityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_BasisDifferenceAccretionGain_e9eef3ce-136a-4fdd-a192-7982b9bd8937_terseLabel_en-US" xlink:label="lab_cnp_BasisDifferenceAccretionGain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basis difference amortization (1)</link:label>
    <link:label id="lab_cnp_BasisDifferenceAccretionGain_label_en-US" xlink:label="lab_cnp_BasisDifferenceAccretionGain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basis Difference Accretion Gain</link:label>
    <link:label id="lab_cnp_BasisDifferenceAccretionGain_documentation_en-US" xlink:label="lab_cnp_BasisDifferenceAccretionGain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basis Difference Accretion Gain</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_BasisDifferenceAccretionGain" xlink:href="cnp-20201231.xsd#cnp_BasisDifferenceAccretionGain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_BasisDifferenceAccretionGain" xlink:to="lab_cnp_BasisDifferenceAccretionGain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PostemploymentBenefitsPeriodExpense_96c59f57-9754-4661-84db-e25d8565a6e0_terseLabel_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsPeriodExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment Benefits, Period Expense</link:label>
    <link:label id="lab_us-gaap_PostemploymentBenefitsPeriodExpense_label_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsPeriodExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment Benefits, Period Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PostemploymentBenefitsPeriodExpense" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PostemploymentBenefitsPeriodExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PostemploymentBenefitsPeriodExpense" xlink:to="lab_us-gaap_PostemploymentBenefitsPeriodExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_b4bf436b-ab49-4442-ab68-0d90f22da58a_terseLabel_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of sales that trigger right of first refusal</link:label>
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_label_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sale of Units, Percentage, Trigger Right of First Refusal</link:label>
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_documentation_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sale of more than this percentage of aggregated common and subordinated units owned are subject to mutual rights of first offer and first refusal.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:href="cnp-20201231.xsd#cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:to="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit_1696ae30-38b2-41d5-941c-0ad1c0d425ef_terseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment Carrying Value Per Unit</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit_label_en-US" xlink:label="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment Carrying Value Per Unit</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The carrying value per unit of an equity method investment at the balance sheet date.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:href="cnp-20201231.xsd#cnp_EquityMethodInvestmentCarryingValuePerUnit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:to="lab_cnp_EquityMethodInvestmentCarryingValuePerUnit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock_645e2be1-bac8-428e-90f0-cb1d25f3049e_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Assumptions Used [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Assumptions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfAssumptionsUsedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfAssumptionsUsedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ConsolidatedEntitiesAxis_b84a969b-d8de-4164-a398-6ccb9080a44e_terseLabel_en-US" xlink:label="lab_srt_ConsolidatedEntitiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidated Entities [Axis]</link:label>
    <link:label id="lab_srt_ConsolidatedEntitiesAxis_label_en-US" xlink:label="lab_srt_ConsolidatedEntitiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidated Entities [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidatedEntitiesAxis" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidatedEntitiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ConsolidatedEntitiesAxis" xlink:to="lab_srt_ConsolidatedEntitiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities_d9cbf868-bca8-4f3e-9e56-98398298e32f_verboseLabel_en-US" xlink:label="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Corporate equities</link:label>
    <link:label id="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities_label_en-US" xlink:label="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Assets Measured On Recurring Basis Corporate Equities</link:label>
    <link:label id="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities_documentation_en-US" xlink:label="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This element represents a certain statement of financial position asset caption which represents a class of assets, or which may include an individual asset, measured at fair value on a recurring basis.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:href="cnp-20201231.xsd#cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:to="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws_29df2115-0527-4a53-ac8f-e321cba658c0_negatedTerseLabel_en-US" xlink:label="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net operating loss carryback</link:label>
    <link:label id="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws_label_en-US" xlink:label="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Recognized tax benefit from changes in tax laws</link:label>
    <link:label id="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws_documentation_en-US" xlink:label="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Recognized tax benefit from changes in tax laws</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:href="cnp-20201231.xsd#cnp_RecognizedTaxBenefitFromChangesInTaxLaws"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:to="lab_cnp_RecognizedTaxBenefitFromChangesInTaxLaws" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform_c6f3e1d2-4968-4a3d-a296-930e880329f6_negatedTerseLabel_en-US" xlink:label="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Federal income tax rate reduction</link:label>
    <link:label id="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform_label_en-US" xlink:label="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Benefit From Remeasurement of Deferred Taxes Due to Tax Reform</link:label>
    <link:label id="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform_documentation_en-US" xlink:label="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the tax benefit resulting from the remeasurement of deferred taxes due to tax reform.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:href="cnp-20201231.xsd#cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:to="lab_cnp_TaxBenefitFromRemeasurementofDeferredTaxesDuetoTaxReform" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ScenarioUnspecifiedDomain_cf9f675c-ec84-41b1-bd4a-3c9858b8da1e_terseLabel_en-US" xlink:label="lab_srt_ScenarioUnspecifiedDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Scenario, Unspecified [Domain]</link:label>
    <link:label id="lab_srt_ScenarioUnspecifiedDomain_label_en-US" xlink:label="lab_srt_ScenarioUnspecifiedDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Scenario [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ScenarioUnspecifiedDomain" xlink:to="lab_srt_ScenarioUnspecifiedDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ConsolidationItemsDomain_f780dc0e-369a-4a1c-9784-ffc35f4e0b6b_terseLabel_en-US" xlink:label="lab_srt_ConsolidationItemsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidation Items [Domain]</link:label>
    <link:label id="lab_srt_ConsolidationItemsDomain_label_en-US" xlink:label="lab_srt_ConsolidationItemsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidation Items [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ConsolidationItemsDomain" xlink:to="lab_srt_ConsolidationItemsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SubordinatedDebtZENSMember_b92684bc-4998-4fbf-8468-bf861bbb5b52_terseLabel_en-US" xlink:label="lab_cnp_SubordinatedDebtZENSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subordinated Debt ZENS Member</link:label>
    <link:label id="lab_cnp_SubordinatedDebtZENSMember_59bde176-44ba-49a2-bc2b-4d39b01999c4_verboseLabel_en-US" xlink:label="lab_cnp_SubordinatedDebtZENSMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ZENS due 2029 (2)</link:label>
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    <link:label id="lab_cnp_SubordinatedDebtZENSMember_documentation_en-US" xlink:label="lab_cnp_SubordinatedDebtZENSMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Issued debt obligation as zero-premium exchangeable subordinated notes. Obligation is bifurcated between a debt component and an embedded derivative component. Exchangeable for cash at any time at the option of the holder, and as such are classified as a current portion of long-term debt.</link:label>
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    <link:label id="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_41364c9e-635f-448f-a11f-579af2a2b241_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill and Other Intangibles (CenterPoint Energy and CERC) [Text Block]</link:label>
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    <link:label id="lab_us-gaap_DueFromRelatedPartiesCurrent_fb0c0a18-4e53-49b2-bae9-d22feeb77ba1_terseLabel_en-US" xlink:label="lab_us-gaap_DueFromRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts and notes receivable&#8212;affiliated companies</link:label>
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    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentAbstract_241a1408-13a2-4b3b-8ccd-d19511d514b8_verboseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment, net</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentAbstract_4b6c7edd-5109-4e75-9574-6324665df22d_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment [Abstract]</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets_7f951329-74d6-4f4f-9c28-87b67a27b105_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Actual investment return</link:label>
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    <link:label id="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_aa05e554-a618-4060-b4f6-9befc4a3e4d9_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Capital Shares Reserved for Future Issuance</link:label>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent_7545e159-26a8-4522-9618-3f771d43d6df_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, plant and equipment, net</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations_125b71f8-69c5-40f4-823b-f2252c1d0681_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Plan Assets, Actual Allocation, Percentage</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Plan Assets, Actual Allocation, Percentage</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" xlink:to="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_9303b493-ddbb-462c-8b70-f0244d782d62_terseLabel_en-US" xlink:label="lab_cnp_IndianaGasServiceTerritoryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indiana Gas Service Territory [Member]</link:label>
    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_label_en-US" xlink:label="lab_cnp_IndianaGasServiceTerritoryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indiana Gas Service Territory [Member]</link:label>
    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_documentation_en-US" xlink:label="lab_cnp_IndianaGasServiceTerritoryMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the areas in Indiana serviced by Indiana Gas Service</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IndianaGasServiceTerritoryMember" xlink:href="cnp-20201231.xsd#cnp_IndianaGasServiceTerritoryMember"/>
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    <link:label id="lab_cnp_DerivativeComponentOfZENSMember_ac50580b-ecfe-4a57-95c6-512282526744_terseLabel_en-US" xlink:label="lab_cnp_DerivativeComponentOfZENSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Component Of ZENS [Member]</link:label>
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    <link:label id="lab_cnp_DerivativeComponentOfZENSMember_documentation_en-US" xlink:label="lab_cnp_DerivativeComponentOfZENSMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the bifurcated derivative component of the ZENS obligation</link:label>
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    <link:label id="lab_us-gaap_HedgingDesignationAxis_e7c04a87-3ee5-4eaf-b63e-3bb5e7c0e488_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingDesignationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hedging Designation [Axis]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingDesignationAxis" xlink:to="lab_us-gaap_HedgingDesignationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities_35fabdd6-1854-4fd7-81bb-a7133f2cbc11_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current liabilities</link:label>
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    <link:label id="lab_us-gaap_DisaggregationOfRevenueTable_e0f54b2c-6606-4768-999c-5b89256ef906_terseLabel_en-US" xlink:label="lab_us-gaap_DisaggregationOfRevenueTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disaggregation of Revenue [Table]</link:label>
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    <link:label id="lab_dei_EntityDomain_8adeb492-e396-4310-b3cc-a9622ae46e36_terseLabel_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity [Domain]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PensionContributions" xlink:to="lab_us-gaap_PensionContributions" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain_adac418f-1f90-49e7-8751-4580c6ca6a2d_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Limited Partners' Capital Account, Class [Domain]</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Limited Partners' Capital Account, Class [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LimitedPartnersCapitalAccountClassDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_93220f6f-02e9-4745-98c3-e1f80049e0bd_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restricted cash</link:label>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_label_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restricted Cash and Cash Equivalents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:to="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsegmentsConsolidationItemsAxis_daaa86cc-70f4-4a74-b02d-7f39ad827cd3_terseLabel_en-US" xlink:label="lab_us-gaap_SubsegmentsConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsegments Consolidation Items [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsegmentsConsolidationItemsAxis_label_en-US" xlink:label="lab_us-gaap_SubsegmentsConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsegments Consolidation Items [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsegmentsConsolidationItemsAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsegmentsConsolidationItemsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsegmentsConsolidationItemsAxis" xlink:to="lab_us-gaap_SubsegmentsConsolidationItemsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherCurrentAssets_0030679e-2ad3-4ed5-94c3-d2e36bd312b0_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other current assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherCurrentAssets_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Other Current Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOtherCurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_RetailElectricSalesMember_bc705b23-80a6-41e1-9ecb-344a4b78b266_terseLabel_en-US" xlink:label="lab_cnp_RetailElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retail Electric Sales [Member]</link:label>
    <link:label id="lab_cnp_RetailElectricSalesMember_label_en-US" xlink:label="lab_cnp_RetailElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retail Electric Sales [Member]</link:label>
    <link:label id="lab_cnp_RetailElectricSalesMember_documentation_en-US" xlink:label="lab_cnp_RetailElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retail Electric Sales [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_RetailElectricSalesMember" xlink:href="cnp-20201231.xsd#cnp_RetailElectricSalesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_RetailElectricSalesMember" xlink:to="lab_cnp_RetailElectricSalesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock_d9995823-b000-4b17-90fb-ea8b61121f3d_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-Based Compensation, Activity [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement, Activity [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock"/>
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    <link:label id="lab_us-gaap_OtherRegulatoryAssetsLiabilitiesMember_a3247fd7-e820-4ee6-adc6-71c4e4fb86a5_terseLabel_en-US" xlink:label="lab_us-gaap_OtherRegulatoryAssetsLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Regulatory Assets (Liabilities) [Member]</link:label>
    <link:label id="lab_us-gaap_OtherRegulatoryAssetsLiabilitiesMember_label_en-US" xlink:label="lab_us-gaap_OtherRegulatoryAssetsLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Regulatory Assets (Liabilities) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherRegulatoryAssetsLiabilitiesMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherRegulatoryAssetsLiabilitiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherRegulatoryAssetsLiabilitiesMember" xlink:to="lab_us-gaap_OtherRegulatoryAssetsLiabilitiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedStockMember_d7ff2a5b-c65a-4acd-a2ef-f7ef20c8cf2e_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restricted Stock [Member]</link:label>
    <link:label id="lab_us-gaap_RestrictedStockMember_label_en-US" xlink:label="lab_us-gaap_RestrictedStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restricted Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedStockMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedStockMember" xlink:to="lab_us-gaap_RestrictedStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided_f508be6e-2e65-4d8e-b68b-b676bc1b39ab_terseLabel_en-US" xlink:label="lab_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Remaining amounts of regulatory assets for which no return on investment during recovery period is provided</link:label>
    <link:label id="lab_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided_label_en-US" xlink:label="lab_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Remaining Amounts of Regulatory Assets for which No Return on Investment During Recovery Period is Provided</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided" xlink:to="lab_us-gaap_RemainingAmountsOfRegulatoryAssetsForWhichNoReturnOnInvestmentDuringRecoveryPeriodIsProvided" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_cbc2a835-8722-4caa-b2f3-643b7500f7cb_terseLabel_en-US" xlink:label="lab_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disclosure of Compensation Related Costs, Share-based Payments [Abstract]</link:label>
    <link:label id="lab_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_label_en-US" xlink:label="lab_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:to="lab_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfCapitalDistribution_e09161ba-6f24-4997-bd51-6a76a28aec26_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfCapitalDistribution" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital distribution to parent associated with the sale of CES</link:label>
    <link:label id="lab_us-gaap_PaymentsOfCapitalDistribution_label_en-US" xlink:label="lab_us-gaap_PaymentsOfCapitalDistribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payments of Capital Distribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfCapitalDistribution" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfCapitalDistribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfCapitalDistribution" xlink:to="lab_us-gaap_PaymentsOfCapitalDistribution" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ConsolidatedEntitiesDomain_f4f5ce53-0094-4eb8-b747-7420c3842b49_terseLabel_en-US" xlink:label="lab_srt_ConsolidatedEntitiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidated Entities [Domain]</link:label>
    <link:label id="lab_srt_ConsolidatedEntitiesDomain_label_en-US" xlink:label="lab_srt_ConsolidatedEntitiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidated Entities [Domain]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ConsolidatedEntitiesDomain" xlink:to="lab_srt_ConsolidatedEntitiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilityCurrent_7f70255c-181e-44f8-9e7d-16d971cb4a0f_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilityCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current operating lease liability (2)</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilityCurrent_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilityCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Liability, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLiabilityCurrent" xlink:to="lab_us-gaap_OperatingLeaseLiabilityCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DividendsDistributionsChangeDomain_3bdbd425-b37e-46bc-ae80-19e50b6c704d_terseLabel_en-US" xlink:label="lab_cnp_DividendsDistributionsChangeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends, Distributions, Change [Domain]</link:label>
    <link:label id="lab_cnp_DividendsDistributionsChangeDomain_label_en-US" xlink:label="lab_cnp_DividendsDistributionsChangeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends, Distributions, Change [Domain]</link:label>
    <link:label id="lab_cnp_DividendsDistributionsChangeDomain_documentation_en-US" xlink:label="lab_cnp_DividendsDistributionsChangeDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends, Distributions, Change</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DividendsDistributionsChangeDomain" xlink:href="cnp-20201231.xsd#cnp_DividendsDistributionsChangeDomain"/>
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    <link:label id="lab_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember_e4e123f5-12d7-4e57-a760-cd98d0437bef_terseLabel_en-US" xlink:label="lab_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Mortgage backed securities [Member]</link:label>
    <link:label id="lab_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember_label_en-US" xlink:label="lab_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Mortgage-backed Securities, Issued by US Government Sponsored Enterprises [Member]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:to="lab_us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1_9717785f-f3a7-4b12-b3c0-c244946de122_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1" xlink:to="lab_us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate1" xlink:type="arc" order="1"/>
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    <link:label id="lab_cnp_DiscontinuedOperationAfterDisposalPurchaseObligation_74a63d96-9e48-40ef-8f63-55ba9305f7d2_terseLabel_en-US" xlink:label="lab_cnp_DiscontinuedOperationAfterDisposalPurchaseObligation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Outstanding obligation related to AMAs</link:label>
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    <link:label id="lab_cnp_DiscontinuedOperationAfterDisposalPurchaseObligation_documentation_en-US" xlink:label="lab_cnp_DiscontinuedOperationAfterDisposalPurchaseObligation" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued operation after disposal, purchase obligation</link:label>
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    <link:label id="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod_eec9ae12-cca2-44ad-86e8-ef05e6240318_verboseLabel_en-US" xlink:label="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of allowed equity return on the true-up balance that was recognized in the period</link:label>
    <link:label id="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod_label_en-US" xlink:label="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount Of Allowed Equity Return Recognized In Period</link:label>
    <link:label id="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod_documentation_en-US" xlink:label="lab_cnp_AmountOfAllowedEquityReturnRecognizedInPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of allowed equity return on the true-up balance that was recognized in the period</link:label>
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    <link:label id="lab_us-gaap_DiscontinuedOperationAlternativeCashFlowInformationAbstract_e8916828-2124-4802-aa56-2c6f34b9df79_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationAlternativeCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Alternative Cash Flow Information [Abstract]</link:label>
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_7bead1d8-c573-41bf-9922-0ebaf382ccc6_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted average grant date fair value, forfeited or cancelled (in dollars per share)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue"/>
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    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets_21ecebed-c04e-4c39-adbe-aa76c9e7fc84_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other current assets</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets"/>
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    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_2f059cf0-7e40-41a9-a0f7-6c042e52f290_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value of Derivative Instruments [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_046f66a0-49f8-4332-9e61-0770771231d7_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Measurements [Text Block]</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Disclosures [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:to="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryAssetsNoncurrent_4e280328-cd50-40ba-8dfc-afa12c805edc_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory assets</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssetsNoncurrent_179f6f3b-b6a8-4399-9a5a-1747004ab0ed_verboseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-current regulatory assets</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssetsNoncurrent_label_en-US" xlink:label="lab_us-gaap_RegulatoryAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Assets, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryAssetsNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryAssetsNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAssetsNoncurrent" xlink:to="lab_us-gaap_RegulatoryAssetsNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense_05674a50-9825-4118-9176-345c555611f0_terseLabel_en-US" xlink:label="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total</link:label>
    <link:label id="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense_label_en-US" xlink:label="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax Reconciliation Change In Tax Expense</link:label>
    <link:label id="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense_documentation_en-US" xlink:label="lab_cnp_IncomeTaxReconciliationChangeInTaxExpense" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the increase (decrease) in tax expense resulting from various reconciling items.</link:label>
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    <link:label id="lab_us-gaap_VariableInterestEntityOwnershipPercentage_a8b82f98-f0a8-4a0f-82c3-09bb6188d348_terseLabel_en-US" xlink:label="lab_us-gaap_VariableInterestEntityOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Limited partner ownership interest</link:label>
    <link:label id="lab_us-gaap_VariableInterestEntityOwnershipPercentage_label_en-US" xlink:label="lab_us-gaap_VariableInterestEntityOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Variable Interest Entity, Qualitative or Quantitative Information, Ownership Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableInterestEntityOwnershipPercentage" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableInterestEntityOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableInterestEntityOwnershipPercentage" xlink:to="lab_us-gaap_VariableInterestEntityOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_NameOfMajorCustomerDomain_09f06e7e-f9c5-46ee-a0cb-44d142c6ea0f_terseLabel_en-US" xlink:label="lab_srt_NameOfMajorCustomerDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Name of Major Customer [Domain]</link:label>
    <link:label id="lab_srt_NameOfMajorCustomerDomain_label_en-US" xlink:label="lab_srt_NameOfMajorCustomerDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Customer [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_NameOfMajorCustomerDomain" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_NameOfMajorCustomerDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_NameOfMajorCustomerDomain" xlink:to="lab_srt_NameOfMajorCustomerDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DiscontinuedOperationCapitalizedFees_18bc5160-e381-45ab-aaf9-38a545b79289_terseLabel_en-US" xlink:label="lab_cnp_DiscontinuedOperationCapitalizedFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pipeline construction and repair services capitalized</link:label>
    <link:label id="lab_cnp_DiscontinuedOperationCapitalizedFees_label_en-US" xlink:label="lab_cnp_DiscontinuedOperationCapitalizedFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued operation, Capitalized fees</link:label>
    <link:label id="lab_cnp_DiscontinuedOperationCapitalizedFees_documentation_en-US" xlink:label="lab_cnp_DiscontinuedOperationCapitalizedFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued operation, Capitalized fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DiscontinuedOperationCapitalizedFees" xlink:href="cnp-20201231.xsd#cnp_DiscontinuedOperationCapitalizedFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DiscontinuedOperationCapitalizedFees" xlink:to="lab_cnp_DiscontinuedOperationCapitalizedFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_2929e5dc-0ef6-466f-9f24-1dbf3c4e9b50_verboseLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current assets held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_fd51044e-90a0-4fbd-a1b0-c8260f276dbe_totalLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total current assets held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_label_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:to="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock_10ee6895-527d-40b8-8248-a0abe42b2226_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Contribution Plan Disclosures [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock_label_en-US" xlink:label="lab_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Contribution Plan Disclosures [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedContributionPlanDisclosuresTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock" xlink:to="lab_us-gaap_DefinedContributionPlanDisclosuresTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NaturalGasDistributionMember_4724922a-f42b-43c7-b5d8-fdeea0d20a2e_terseLabel_en-US" xlink:label="lab_cnp_NaturalGasDistributionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas Distribution</link:label>
    <link:label id="lab_cnp_NaturalGasDistributionMember_label_en-US" xlink:label="lab_cnp_NaturalGasDistributionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas Distribution [Member]</link:label>
    <link:label id="lab_cnp_NaturalGasDistributionMember_documentation_en-US" xlink:label="lab_cnp_NaturalGasDistributionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment information for the Natural Gas Distribution segment which consists of intrastate natural gas sales to, and natural gas transportation and distribution for, residential, commercial, industrial and institutional customers.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NaturalGasDistributionMember" xlink:href="cnp-20201231.xsd#cnp_NaturalGasDistributionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NaturalGasDistributionMember" xlink:to="lab_cnp_NaturalGasDistributionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CommonStock0.01ParValueMember_5433f281-86ac-4532-a23e-5bb91e4b58e8_terseLabel_en-US" xlink:label="lab_cnp_CommonStock0.01ParValueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, $0.01 par value</link:label>
    <link:label id="lab_cnp_CommonStock0.01ParValueMember_label_en-US" xlink:label="lab_cnp_CommonStock0.01ParValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, $0.01 Par Value [Member]</link:label>
    <link:label id="lab_cnp_CommonStock0.01ParValueMember_documentation_en-US" xlink:label="lab_cnp_CommonStock0.01ParValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, $0.01 Par Value [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CommonStock0.01ParValueMember" xlink:href="cnp-20201231.xsd#cnp_CommonStock0.01ParValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CommonStock0.01ParValueMember" xlink:to="lab_cnp_CommonStock0.01ParValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockLiquidationPreferenceValue_6ed028fc-c1e7-427c-b684-d88c5872f70b_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock aggregate liquidation preference</link:label>
    <link:label id="lab_us-gaap_PreferredStockLiquidationPreferenceValue_4390d27a-f0a5-4c8a-8c0d-ddf0b181830e_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock liquidation preference</link:label>
    <link:label id="lab_us-gaap_PreferredStockLiquidationPreferenceValue_label_en-US" xlink:label="lab_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Liquidation Preference, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockLiquidationPreferenceValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:to="lab_us-gaap_PreferredStockLiquidationPreferenceValue" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityRegistrantName_2992f013-d233-45a2-a169-bbc09de6d1c0_terseLabel_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:label id="lab_dei_EntityRegistrantName_label_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityRegistrantName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths_42885e80-0dfd-4c7c-ba30-f9f6dafc51cb_terseLabel_en-US" xlink:label="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consecutive period for system restoration costs to exceed $100 million (in months)</link:label>
    <link:label id="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths_label_en-US" xlink:label="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consecutive Period for System Restoration Costs to Exceed $100 million (in months)</link:label>
    <link:label id="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths_documentation_en-US" xlink:label="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consecutive Period for System Restoration Costs to Exceed $100 million (in months)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:href="cnp-20201231.xsd#cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:to="lab_cnp_ConsecutivePeriodForSystemRestorationCostsToExceed100MillionInMonths" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_7453c439-c209-4c2a-a888-4da6804c4944_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionLineItems_6345f134-ce19-44cd-ae62-32b29694cd20_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition [Line Items]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionLineItems_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems" xlink:to="lab_us-gaap_BusinessAcquisitionLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_7faf9fd5-a6a5-40c1-9e85-c61ed0bf53ce_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted-average discount rate - operating leases</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Weighted Average Discount Rate, Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:to="lab_us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsFairValueDisclosureAbstract_1242b55e-1137-4ad8-b586-db53b6dec93a_verboseLabel_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_AssetsFairValueDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets, Fair Value Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsFairValueDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:to="lab_us-gaap_AssetsFairValueDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskLineItems_a50b374f-3bb3-4dbb-9824-06708f14650b_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk [Line Items]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskLineItems_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConcentrationRiskLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskLineItems" xlink:to="lab_us-gaap_ConcentrationRiskLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsNoncurrent_b6f7b7e4-9d63-400d-8ba3-cb026f0f1efa_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-current assets</link:label>
    <link:label id="lab_us-gaap_AssetsNoncurrent_label_en-US" xlink:label="lab_us-gaap_AssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsNoncurrent" xlink:to="lab_us-gaap_AssetsNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OtherInformationRelatedtoLeasesAbstract_add30701-5ecb-4bc2-a404-d84f4f46eaf1_terseLabel_en-US" xlink:label="lab_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Information Related to Leases [Abstract]</link:label>
    <link:label id="lab_cnp_OtherInformationRelatedtoLeasesAbstract_label_en-US" xlink:label="lab_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Information Related to Leases [Abstract]</link:label>
    <link:label id="lab_cnp_OtherInformationRelatedtoLeasesAbstract_documentation_en-US" xlink:label="lab_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Information Related to Leases [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:href="cnp-20201231.xsd#cnp_OtherInformationRelatedtoLeasesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:to="lab_cnp_OtherInformationRelatedtoLeasesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IntersegmentEliminationMember_5c802565-6105-4db1-94f3-12fcca8e5033_terseLabel_en-US" xlink:label="lab_us-gaap_IntersegmentEliminationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Intersegment Eliminations [Member]</link:label>
    <link:label id="lab_us-gaap_IntersegmentEliminationMember_label_en-US" xlink:label="lab_us-gaap_IntersegmentEliminationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Intersegment Eliminations [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntersegmentEliminationMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IntersegmentEliminationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IntersegmentEliminationMember" xlink:to="lab_us-gaap_IntersegmentEliminationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SiteContingencyLossExposure_dfabced0-872e-469b-a506-17ea6eee561d_verboseLabel_en-US" xlink:label="lab_cnp_SiteContingencyLossExposure" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimated remediation costs for the Minnesota sites</link:label>
    <link:label id="lab_cnp_SiteContingencyLossExposure_label_en-US" xlink:label="lab_cnp_SiteContingencyLossExposure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Site Contingency Loss Exposure</link:label>
    <link:label id="lab_cnp_SiteContingencyLossExposure_documentation_en-US" xlink:label="lab_cnp_SiteContingencyLossExposure" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimate of the reasonably possible loss exposure at an individual site.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SiteContingencyLossExposure" xlink:href="cnp-20201231.xsd#cnp_SiteContingencyLossExposure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SiteContingencyLossExposure" xlink:to="lab_cnp_SiteContingencyLossExposure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract_b46c45a3-4a4b-48f9-be4a-e9c7c155f12a_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Assets (Liabilities), at Fair Value, Net, by Balance Sheet Classification [Abstract]</link:label>
    <link:label id="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract_label_en-US" xlink:label="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Assets (Liabilities), at Fair Value, Net, by Balance Sheet Classification [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract" xlink:to="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNetByBalanceSheetClassificationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryLiabilityCurrent_7d8890d1-e7ac-4730-b142-4d332e6ca5f0_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current regulatory liabilities (6)</link:label>
    <link:label id="lab_us-gaap_RegulatoryLiabilityCurrent_label_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Liability, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryLiabilityCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryLiabilityCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryLiabilityCurrent" xlink:to="lab_us-gaap_RegulatoryLiabilityCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryAssets_11291edf-4a80-4848-a88d-b93032757cd3_verboseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total regulatory assets</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssets_9f644a73-110c-4823-99ed-93585133cff7_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Assets</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssets_label_en-US" xlink:label="lab_us-gaap_RegulatoryAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAssets" xlink:to="lab_us-gaap_RegulatoryAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract_c1230144-c1de-4d7f-9850-80f78a8180bb_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Continuing Involvement [Abstract]</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Continuing Involvement [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationContinuingInvolvementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract" xlink:to="lab_us-gaap_DiscontinuedOperationContinuingInvolvementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets_5847db64-2810-45c1-98f1-04e6b6089212_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-trading derivative assets</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative assets</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:href="cnp-20201231.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:to="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNonTradingDerivativeAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_753464cf-c9ca-453b-ba39-70ae0dbfdd86_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payment of dividends on Common Stock</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payments of Ordinary Dividends, Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:to="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CommonCollectiveTrustFundsMember_f0091a32-8980-470a-b0c1-9563c282bef8_terseLabel_en-US" xlink:label="lab_cnp_CommonCollectiveTrustFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Collective Trust Funds [Member]</link:label>
    <link:label id="lab_cnp_CommonCollectiveTrustFundsMember_label_en-US" xlink:label="lab_cnp_CommonCollectiveTrustFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Collective Trust Funds Member</link:label>
    <link:label id="lab_cnp_CommonCollectiveTrustFundsMember_documentation_en-US" xlink:label="lab_cnp_CommonCollectiveTrustFundsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consists of common collective trust funds invested in equities and fixed income securities.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CommonCollectiveTrustFundsMember" xlink:href="cnp-20201231.xsd#cnp_CommonCollectiveTrustFundsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CommonCollectiveTrustFundsMember" xlink:to="lab_cnp_CommonCollectiveTrustFundsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_77b3b51e-2689-45ae-970a-7528532829aa_terseLabel_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_label_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityIncorporationStateCountryCode" xlink:to="lab_dei_EntityIncorporationStateCountryCode" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NumberOfWarrantyObligationsOutstanding_8e9b400a-9f35-4edb-b545-66a901a6a054_terseLabel_en-US" xlink:label="lab_cnp_NumberOfWarrantyObligationsOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of warranty obligations outstanding</link:label>
    <link:label id="lab_cnp_NumberOfWarrantyObligationsOutstanding_label_en-US" xlink:label="lab_cnp_NumberOfWarrantyObligationsOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of warranty obligations outstanding</link:label>
    <link:label id="lab_cnp_NumberOfWarrantyObligationsOutstanding_documentation_en-US" xlink:label="lab_cnp_NumberOfWarrantyObligationsOutstanding" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the number of warranties the wholly owned subsidiary has outstanding in its role as general contractor.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NumberOfWarrantyObligationsOutstanding" xlink:href="cnp-20201231.xsd#cnp_NumberOfWarrantyObligationsOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NumberOfWarrantyObligationsOutstanding" xlink:to="lab_cnp_NumberOfWarrantyObligationsOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_fa12eb2c-7378-4c5d-8dc5-2bc36ffd4aa2_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Record Date</link:label>
    <link:label id="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_label_en-US" xlink:label="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends Payable, Date of Record</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DividendsPayableDateOfRecordDayMonthAndYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:to="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact_f883076a-8618-4f93-b572-c49eada8d115_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income allocated to preferred shareholders</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact_label_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock Dividends, Income Statement Impact</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockDividendsIncomeStatementImpact"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact" xlink:to="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPreferredStockCash_9274aa27-3f1e-4bc2-8e84-78199827d139_negatedLabel_en-US" xlink:label="lab_us-gaap_DividendsPreferredStockCash" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock dividends declared</link:label>
    <link:label id="lab_us-gaap_DividendsPreferredStockCash_c0dbcdb9-c2e8-4217-99a5-b0000ace3c6c_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPreferredStockCash" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends declared</link:label>
    <link:label id="lab_us-gaap_DividendsPreferredStockCash_label_en-US" xlink:label="lab_us-gaap_DividendsPreferredStockCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends, Preferred Stock, Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPreferredStockCash" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DividendsPreferredStockCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPreferredStockCash" xlink:to="lab_us-gaap_DividendsPreferredStockCash" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_58121f10-7bc6-4f6e-a4d9-ee9b28e1fbf5_terseLabel_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common stock issued per share price</link:label>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_label_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Shares Issued, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharesIssuedPricePerShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SharesIssuedPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharesIssuedPricePerShare" xlink:to="lab_us-gaap_SharesIssuedPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ContractBalancesLineItems_67430d49-7ba4-4ddd-9e7a-6b325b9a7393_terseLabel_en-US" xlink:label="lab_cnp_ContractBalancesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract Balances [Line Items]</link:label>
    <link:label id="lab_cnp_ContractBalancesLineItems_label_en-US" xlink:label="lab_cnp_ContractBalancesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract Balances [Line Items]</link:label>
    <link:label id="lab_cnp_ContractBalancesLineItems_documentation_en-US" xlink:label="lab_cnp_ContractBalancesLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">[Line Items] for Contract Balances [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ContractBalancesLineItems" xlink:href="cnp-20201231.xsd#cnp_ContractBalancesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ContractBalancesLineItems" xlink:to="lab_cnp_ContractBalancesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_c548064a-5eab-45a8-a216-c690bb41a8cf_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Adjustments for New Accounting Pronouncements [Axis]</link:label>
    <link:label id="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_label_en-US" xlink:label="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounting Standards Update [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdjustmentsForNewAccountingPronouncementsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis" xlink:to="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards_921078c3-ecbc-4bc3-a370-c3e186cd8d14_terseLabel_en-US" xlink:label="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash payments towards outstanding share-based awards</link:label>
    <link:label id="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards_label_en-US" xlink:label="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash payments towards outstanding share-based awards</link:label>
    <link:label id="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards_documentation_en-US" xlink:label="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash payments towards outstanding share-based awards as a result of the merger close.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:href="cnp-20201231.xsd#cnp_Cashpaymentstowardsoutstandingsharebasedawards"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:to="lab_cnp_Cashpaymentstowardsoutstandingsharebasedawards" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionLimit_1ba07c70-375f-40e7-9edb-a1f01ece6f78_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionLimit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Conversion Limit</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionLimit_label_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionLimit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Conversion Limit</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionLimit_documentation_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionLimit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Conversion Limit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreferredStockConvertibleConversionLimit" xlink:href="cnp-20201231.xsd#cnp_PreferredStockConvertibleConversionLimit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredStockConvertibleConversionLimit" xlink:to="lab_cnp_PreferredStockConvertibleConversionLimit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardTable_acf6fa41-39bb-463c-b3d7-f619c7f770a7_terseLabel_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Tax Carryforward [Table]</link:label>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardTable_label_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Credit Carryforward [Table]</link:label>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDepreciationAndAmortization_b71168a5-a9ee-4211-95e6-99dda9a1158e_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDepreciationAndAmortization" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and amortization</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_4a34bdc0-f4fc-4cc0-87ce-fc9d9c8b202f_totalLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total</link:label>
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    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_e8f1e3d9-ff28-4397-bb02-1d70cf5f3a58_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock, Dividends, Per Share, Declared</link:label>
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    <link:label id="lab_us-gaap_ElectricTransmissionMember_d2525224-44f6-4a8a-b5cd-08074d446251_terseLabel_en-US" xlink:label="lab_us-gaap_ElectricTransmissionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric Transmission [Member]</link:label>
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    <link:label id="lab_us-gaap_ContractWithCustomerLiabilityCurrent_51dabdf4-780d-4ca2-ad61-8c4cec734d08_terseLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiabilityCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Customer deposits</link:label>
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    <link:label id="lab_dei_DocumentFiscalYearFocus_0ef2d80f-078c-45cc-ab3b-afe4cee62d8e_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Document Fiscal Year Focus</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanBenefitObligation_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanBenefitObligation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Benefit Obligation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanBenefitObligation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanBenefitObligation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanBenefitObligation" xlink:to="lab_us-gaap_DefinedBenefitPlanBenefitObligation" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCurrentReportingStatus_eb44189e-a234-47cb-882b-c55b86e6d818_terseLabel_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Current Reporting Status</link:label>
    <link:label id="lab_dei_EntityCurrentReportingStatus_label_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Current Reporting Status</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityCurrentReportingStatus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCurrentReportingStatus" xlink:to="lab_dei_EntityCurrentReportingStatus" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MergerExchangeRatio_af303249-b1cb-4329-93a0-d1507689b879_terseLabel_en-US" xlink:label="lab_cnp_MergerExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Merger Exchange Ratio</link:label>
    <link:label id="lab_cnp_MergerExchangeRatio_label_en-US" xlink:label="lab_cnp_MergerExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Merger Exchange Ratio</link:label>
    <link:label id="lab_cnp_MergerExchangeRatio_documentation_en-US" xlink:label="lab_cnp_MergerExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Transfer will acquire all of Enable's outstanding equity interest, resulting in the exchange of Enable common units owned by CenterPoint Energy with this ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MergerExchangeRatio" xlink:href="cnp-20201231.xsd#cnp_MergerExchangeRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MergerExchangeRatio" xlink:to="lab_cnp_MergerExchangeRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_f31a3f38-2825-46ae-b88a-6a360dea4f9d_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary share par value (in dollars per depositary share)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_label_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sale of Stock, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockPricePerShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SaleOfStockPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockPricePerShare" xlink:to="lab_us-gaap_SaleOfStockPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtCurrent_e3637ca9-edd3-4c11-a693-09235cf0a33a_terseLabel_en-US" xlink:label="lab_us-gaap_DebtCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt, Current</link:label>
    <link:label id="lab_us-gaap_DebtCurrent_label_en-US" xlink:label="lab_us-gaap_DebtCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtCurrent" xlink:to="lab_us-gaap_DebtCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GoodwillFairValueDisclosure_fbeab5db-c736-4601-8b0e-2ab75e58bc09_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value of goodwill</link:label>
    <link:label id="lab_us-gaap_GoodwillFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_GoodwillFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillFairValueDisclosure" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GoodwillFairValueDisclosure" xlink:to="lab_us-gaap_GoodwillFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RemovalCostsMember_557c6fd0-bdb1-44f3-b5ab-2b4544991570_terseLabel_en-US" xlink:label="lab_us-gaap_RemovalCostsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Removal Costs [Member]</link:label>
    <link:label id="lab_us-gaap_RemovalCostsMember_label_en-US" xlink:label="lab_us-gaap_RemovalCostsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Removal Costs [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RemovalCostsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RemovalCostsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RemovalCostsMember" xlink:to="lab_us-gaap_RemovalCostsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_c7ad1f51-c4ff-4a3b-99aa-d45fc44c749f_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock_4576f28a-b8c5-4620-a25d-20f733576096_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Groups, Including Discontinued Operations Cash Flow</link:label>
    <link:label id="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock_label_en-US" xlink:label="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Groups, Including Discontinued Operations Cash Flow [Table Text Block]</link:label>
    <link:label id="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock_documentation_en-US" xlink:label="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Groups, Including Discontinued Operations Cash Flow</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:href="cnp-20201231.xsd#cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:to="lab_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EstimatedRemainingExposure_1b829641-2a3f-40d6-83f4-3174a3313fac_terseLabel_en-US" xlink:label="lab_cnp_EstimatedRemainingExposure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimated Remaining Exposure</link:label>
    <link:label id="lab_cnp_EstimatedRemainingExposure_label_en-US" xlink:label="lab_cnp_EstimatedRemainingExposure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimated Remaining Exposure</link:label>
    <link:label id="lab_cnp_EstimatedRemainingExposure_documentation_en-US" xlink:label="lab_cnp_EstimatedRemainingExposure" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimated Remaining Exposure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EstimatedRemainingExposure" xlink:href="cnp-20201231.xsd#cnp_EstimatedRemainingExposure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EstimatedRemainingExposure" xlink:to="lab_cnp_EstimatedRemainingExposure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_3f883511-42a5-47b8-be16-13cb33ea6c78_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash paid per share of Vectren common stock at closing of the Merger</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition, Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:to="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_287814b3-7c7c-491c-8ffb-f06a39750c61_verboseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash and Cash Equivalents, at Carrying Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:to="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges_23f8ebe0-08ee-4817-acc8-6886a1b6ad0e_terseLabel_en-US" xlink:label="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pipeline construction and repair service charges in operations and maintenance expense</link:label>
    <link:label id="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges_label_en-US" xlink:label="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Intra-Entity Amounts, Discontinued Operation after Disposal, Pipeline construction and repair charges</link:label>
    <link:label id="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges_documentation_en-US" xlink:label="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Intra-Entity Amounts, Discontinued Operation after Disposal, Pipeline construction and repair charges</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:href="cnp-20201231.xsd#cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:to="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalPipelineConstructionAndRepairCharges" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsMember_a6e5e5a5-e7ce-4a69-8aff-f4c7b0b81a6e_terseLabel_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements [Member]</link:label>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsMember_label_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements [Member]</link:label>
    <link:label id="lab_cnp_OperationandmaintenanceagreementsMember_documentation_en-US" xlink:label="lab_cnp_OperationandmaintenanceagreementsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance agreements [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OperationandmaintenanceagreementsMember" xlink:href="cnp-20201231.xsd#cnp_OperationandmaintenanceagreementsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OperationandmaintenanceagreementsMember" xlink:to="lab_cnp_OperationandmaintenanceagreementsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseLiability_e1d63a60-eac9-4c30-b9ef-42c9b36f2456_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total leased liabilities</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseLiability_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLiability" xlink:to="lab_us-gaap_OperatingLeaseLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_96d71958-4e40-46d6-a587-ca1007fb977a_totalLabel_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net deferred tax liabilities</link:label>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_label_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxLiabilities" xlink:to="lab_us-gaap_DeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtNoncurrent_204b50f2-8510-440e-99e2-440d7f4e6727_totalLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total long-term debt, net</link:label>
    <link:label id="lab_us-gaap_LongTermDebtNoncurrent_1fd5fa7c-4fb6-4b99-9e1d-c58f17d7a113_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Term</link:label>
    <link:label id="lab_us-gaap_LongTermDebtNoncurrent_label_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Excluding Current Maturities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtNoncurrent" xlink:to="lab_us-gaap_LongTermDebtNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentReportingAbstract_d965e510-003e-4541-8306-b4cd76f9c498_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentReportingAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Reporting [Abstract]</link:label>
    <link:label id="lab_us-gaap_SegmentReportingAbstract_label_en-US" xlink:label="lab_us-gaap_SegmentReportingAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Reporting [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingAbstract" xlink:to="lab_us-gaap_SegmentReportingAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IndianaElectricMember_8697b2e6-94d4-4ab9-b4e1-2f3ad7c47107_terseLabel_en-US" xlink:label="lab_cnp_IndianaElectricMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indiana Electric [Member]</link:label>
    <link:label id="lab_cnp_IndianaElectricMember_label_en-US" xlink:label="lab_cnp_IndianaElectricMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indiana Electric [Member]</link:label>
    <link:label id="lab_cnp_IndianaElectricMember_documentation_en-US" xlink:label="lab_cnp_IndianaElectricMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operations of SIGECO 's electric transmission and distribution services , including power generation and wholesale power operations [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IndianaElectricMember" xlink:href="cnp-20201231.xsd#cnp_IndianaElectricMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IndianaElectricMember" xlink:to="lab_cnp_IndianaElectricMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_c8d6c291-c3eb-4a71-a651-981a1cef2eff_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentLineItems" xlink:to="lab_us-gaap_DebtInstrumentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquity_ad72c673-50d6-4355-a166-cd32afcfc7ce_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total shareholders&#8217; equity</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_d887d8f2-ba4f-434e-a77a-f7e034242f71_periodStartLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, beginning of year</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_0241aac6-e613-4e3f-8ab8-af7010bd3dbd_periodEndLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, end of year</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_4c4b5b9e-b031-4793-9159-baaf7e6b1907_verboseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Enable partners' equity</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_label_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stockholders' Equity Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquity" xlink:to="lab_us-gaap_StockholdersEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining_deb3446f-8e17-4350-a9e7-5eee8a58ce5e_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Maximum contractual exposure under Securities Purchase Agreement</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Amounts of Material Contingent Liabilities Remaining</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining" xlink:to="lab_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_596fe7c5-34c7-40be-a66c-2be17aa05d6d_terseLabel_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted average interest rate</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_label_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Money Pool Investments Weighted Average Interest Rate</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_documentation_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted average interest rate of outstanding investments in money pool.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:href="cnp-20201231.xsd#cnp_MoneyPoolInvestmentsWeightedAverageInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:to="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressCityOrTown_de73f4c4-ead5-4aec-8333-c7fad4cccb56_terseLabel_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Address, City or Town</link:label>
    <link:label id="lab_dei_EntityAddressCityOrTown_label_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Address, City or Town</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityAddressCityOrTown"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressCityOrTown" xlink:to="lab_dei_EntityAddressCityOrTown" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable_14369244-ce9f-4934-8657-1be8a1ee3641_terseLabel_en-US" xlink:label="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-Term Borrowings and Long-Term Debt [Table]</link:label>
    <link:label id="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable_label_en-US" xlink:label="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-Term Borrowings and Long-Term Debt [Table]</link:label>
    <link:label id="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable_documentation_en-US" xlink:label="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-Term Borrowings and Long-Term Debt [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:href="cnp-20201231.xsd#cnp_ShortTermBorrowingsAndLongTermDebtTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:to="lab_cnp_ShortTermBorrowingsAndLongTermDebtTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_f99c59db-15ad-447d-8d82-960393455ba1_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value of plan assets measurement [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_9ad79539-85bd-4dd1-91dd-669cd5de79cc_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OtherDebtMember_14946699-b883-4b30-8d17-e97f95315192_terseLabel_en-US" xlink:label="lab_cnp_OtherDebtMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Debt</link:label>
    <link:label id="lab_cnp_OtherDebtMember_label_en-US" xlink:label="lab_cnp_OtherDebtMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Debt [Member]</link:label>
    <link:label id="lab_cnp_OtherDebtMember_documentation_en-US" xlink:label="lab_cnp_OtherDebtMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OtherDebtMember" xlink:href="cnp-20201231.xsd#cnp_OtherDebtMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OtherDebtMember" xlink:to="lab_cnp_OtherDebtMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear_3a4220a2-b417-440d-902c-6e2aa82a4075_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Health care cost trend rate assumed for the next year</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Health Care Cost Trend Rate Assumed, Next Fiscal Year</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear" xlink:to="lab_us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedNextFiscalYear" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_8d5371ff-ab9a-41bd-a196-180b2dcb3097_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2025</link:label>
    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_label_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Operating Lease, Liability, to be Paid, Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:to="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_0a7d1b2b-7788-4fc8-9e60-51cdddd1fd9b_verboseLabel_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Securities Related to ZENS</link:label>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financial Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialInstrumentAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FinancialInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialInstrumentAxis" xlink:to="lab_us-gaap_FinancialInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TypeOfAdoptionMember_39746f94-7d7e-446b-8fa0-763d49d39a48_terseLabel_en-US" xlink:label="lab_us-gaap_TypeOfAdoptionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Type of Adoption [Domain]</link:label>
    <link:label id="lab_us-gaap_TypeOfAdoptionMember_label_en-US" xlink:label="lab_us-gaap_TypeOfAdoptionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounting Standards Update [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TypeOfAdoptionMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TypeOfAdoptionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TypeOfAdoptionMember" xlink:to="lab_us-gaap_TypeOfAdoptionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LaborForceConcentrationRiskMember_15db19d1-5178-473d-bc20-77634c75d10a_terseLabel_en-US" xlink:label="lab_us-gaap_LaborForceConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Labor Force Concentration Risk [Member]</link:label>
    <link:label id="lab_us-gaap_LaborForceConcentrationRiskMember_label_en-US" xlink:label="lab_us-gaap_LaborForceConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Labor Force Concentration Risk [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LaborForceConcentrationRiskMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LaborForceConcentrationRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LaborForceConcentrationRiskMember" xlink:to="lab_us-gaap_LaborForceConcentrationRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage_cdb5754c-c8d7-4221-aa54-8515fcdb1d53_terseLabel_en-US" xlink:label="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Return on equity</link:label>
    <link:label id="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage_label_en-US" xlink:label="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public Utilities, Requested Return on Equity, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage" xlink:to="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShortTermLeaseCost_cd86aa15-639b-4302-bb97-28af857ae863_terseLabel_en-US" xlink:label="lab_us-gaap_ShortTermLeaseCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-term lease cost</link:label>
    <link:label id="lab_us-gaap_ShortTermLeaseCost_label_en-US" xlink:label="lab_us-gaap_ShortTermLeaseCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-term Lease, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortTermLeaseCost" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShortTermLeaseCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShortTermLeaseCost" xlink:to="lab_us-gaap_ShortTermLeaseCost" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_c25c9de6-86c3-4185-994a-a0038ba50452_terseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Limited partner interest units held</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_label_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Ownership, Shares</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Ownership, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EquityMethodInvestmentOwnershipShares" xlink:href="cnp-20201231.xsd#cnp_EquityMethodInvestmentOwnershipShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentOwnershipShares" xlink:to="lab_cnp_EquityMethodInvestmentOwnershipShares" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationsPolicyTextBlock_35903ab7-b5fa-4408-8c1a-05aa5d859643_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets Held for Sale and Discontinued Operations</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationsPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operations, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationsPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationsPolicyTextBlock" xlink:to="lab_us-gaap_DiscontinuedOperationsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_GainLossOnIndexedDebtSecurities_cdc4bf61-5fe9-4f19-97bd-ca9754221fbf_terseLabel_en-US" xlink:label="lab_cnp_GainLossOnIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss on indexed debt securities</link:label>
    <link:label id="lab_cnp_GainLossOnIndexedDebtSecurities_7c5073b7-d7cf-48a1-bcc0-5e105e2bd0ed_negatedLabel_en-US" xlink:label="lab_cnp_GainLossOnIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss (gain) on indexed debt securities</link:label>
    <link:label id="lab_cnp_GainLossOnIndexedDebtSecurities_label_en-US" xlink:label="lab_cnp_GainLossOnIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gain (loss) on Indexed Debt Securities</link:label>
    <link:label id="lab_cnp_GainLossOnIndexedDebtSecurities_documentation_en-US" xlink:label="lab_cnp_GainLossOnIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This item represents the net total realized and unrealized gain (loss) included in earnings for the period related to indexed debt securities.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_GainLossOnIndexedDebtSecurities" xlink:href="cnp-20201231.xsd#cnp_GainLossOnIndexedDebtSecurities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_GainLossOnIndexedDebtSecurities" xlink:to="lab_cnp_GainLossOnIndexedDebtSecurities" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices_5fe52d42-a64d-4586-be94-883c542ef576_terseLabel_en-US" xlink:label="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of States in which the Entity Performs Gas Delivery Services</link:label>
    <link:label id="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices_label_en-US" xlink:label="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of States in which the Entity Performs Gas Delivery Services</link:label>
    <link:label id="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices_documentation_en-US" xlink:label="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of States in which the Entity Performs Gas Delivery Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:href="cnp-20201231.xsd#cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:to="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NaturalGasAndCoalMember_e2278b5a-00aa-4000-918f-42c9c67249aa_terseLabel_en-US" xlink:label="lab_cnp_NaturalGasAndCoalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas and Coal</link:label>
    <link:label id="lab_cnp_NaturalGasAndCoalMember_label_en-US" xlink:label="lab_cnp_NaturalGasAndCoalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas and Coal [Member]</link:label>
    <link:label id="lab_cnp_NaturalGasAndCoalMember_documentation_en-US" xlink:label="lab_cnp_NaturalGasAndCoalMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas and Coal</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NaturalGasAndCoalMember" xlink:href="cnp-20201231.xsd#cnp_NaturalGasAndCoalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NaturalGasAndCoalMember" xlink:to="lab_cnp_NaturalGasAndCoalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_UnrecognizedEquityReturn_bc448b1d-d599-4edb-9a6a-74c83695ecf3_negatedTerseLabel_en-US" xlink:label="lab_cnp_UnrecognizedEquityReturn" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unrecognized equity return (2)</link:label>
    <link:label id="lab_cnp_UnrecognizedEquityReturn_label_en-US" xlink:label="lab_cnp_UnrecognizedEquityReturn" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unrecognized Equity Return</link:label>
    <link:label id="lab_cnp_UnrecognizedEquityReturn_documentation_en-US" xlink:label="lab_cnp_UnrecognizedEquityReturn" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the balance of the allowed return on equity that has been deferred and recorded on the balance sheet</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_UnrecognizedEquityReturn" xlink:href="cnp-20201231.xsd#cnp_UnrecognizedEquityReturn"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_UnrecognizedEquityReturn" xlink:to="lab_cnp_UnrecognizedEquityReturn" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent_c2b99ce2-fa92-4443-b7f6-f8b6e11f5d36_terseLabel_en-US" xlink:label="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accrued Unbilled Revenues, Allowance for Credit Losses, Current</link:label>
    <link:label id="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent_label_en-US" xlink:label="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accrued Unbilled Revenues, Allowance for Credit Losses, Current</link:label>
    <link:label id="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent_documentation_en-US" xlink:label="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Allowance for credit losses on accrued unbilled revenues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:href="cnp-20201231.xsd#cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:to="lab_cnp_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDividends_aaa55d0b-6938-4b1f-9d29-89184548e22e_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividends" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividend to parent</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDividends_46d01669-be27-42b4-9281-cb20ac5d69e5_verboseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividends" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash dividends paid to parent</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDividends_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDividends" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payments of Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividends" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfDividends"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDividends" xlink:to="lab_us-gaap_PaymentsOfDividends" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredTaxAssetsValuationAllowance_c9c09e33-fef0-44e9-b4b1-18cec01aefa2_negatedLabel_en-US" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Valuation allowance</link:label>
    <link:label id="lab_us-gaap_DeferredTaxAssetsValuationAllowance_de97af88-ea2c-4832-b448-fda2bf9c714e_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred tax assets, valuation allowance</link:label>
    <link:label id="lab_us-gaap_DeferredTaxAssetsValuationAllowance_label_en-US" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Tax Assets, Valuation Allowance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:to="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_36569afb-6291-4a7c-84f6-1da0ef8253a3_negatedLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Other Noncurrent Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MoneyPoolInvestments_07f2c12f-afdc-488f-be87-26a80a54cbc0_terseLabel_en-US" xlink:label="lab_cnp_MoneyPoolInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Money pool investments (borrowings) (1)</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestments_label_en-US" xlink:label="lab_cnp_MoneyPoolInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">MoneyPoolInvestments</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestments_documentation_en-US" xlink:label="lab_cnp_MoneyPoolInvestments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents investments in the parent company's money pool.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MoneyPoolInvestments" xlink:href="cnp-20201231.xsd#cnp_MoneyPoolInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MoneyPoolInvestments" xlink:to="lab_cnp_MoneyPoolInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_6e808c0a-0325-4462-95cd-4dc1cd017d2a_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2023</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Lived Intangible Asset, Expected Amortization, Year Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_c6242445-1fd0-4bdf-8fd1-19265766fa41_totalLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total assets held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_label_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:to="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Percentageofpropertyadditions_5b1777cc-afbc-474f-8c5d-533e4b3381f9_terseLabel_en-US" xlink:label="lab_cnp_Percentageofpropertyadditions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of property additions</link:label>
    <link:label id="lab_cnp_Percentageofpropertyadditions_label_en-US" xlink:label="lab_cnp_Percentageofpropertyadditions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of property additions</link:label>
    <link:label id="lab_cnp_Percentageofpropertyadditions_documentation_en-US" xlink:label="lab_cnp_Percentageofpropertyadditions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of property additions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Percentageofpropertyadditions" xlink:href="cnp-20201231.xsd#cnp_Percentageofpropertyadditions"/>
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    <link:label id="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage_1c53354b-811c-4ac8-a4b5-6d250c2fedce_terseLabel_en-US" xlink:label="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt capital structure</link:label>
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    <link:label id="lab_cnp_RetailGasSalesMember_c28c8791-060b-4eeb-8c3a-5863689285ae_terseLabel_en-US" xlink:label="lab_cnp_RetailGasSalesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retail Gas Sales [Member]</link:label>
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    <link:label id="lab_cnp_RetailGasSalesMember_documentation_en-US" xlink:label="lab_cnp_RetailGasSalesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents revenue from retail gas sales</link:label>
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    <link:label id="lab_us-gaap_OtherLiabilitiesCurrent_05427ca9-d902-49d8-aef1-f4d1482e7181_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLiabilitiesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_OtherLiabilitiesCurrent_label_en-US" xlink:label="lab_us-gaap_OtherLiabilitiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Liabilities, Current</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilitiesCurrent" xlink:to="lab_us-gaap_OtherLiabilitiesCurrent" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTax_e9320fed-9f9b-4f32-a43d-3ee885e58967_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other comprehensive income (loss)</link:label>
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    <link:label id="lab_us-gaap_RegulatoryAssetAxis_3cfcf067-96af-4f83-880d-1da0830adfed_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssetAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Asset [Axis]</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssetAxis_label_en-US" xlink:label="lab_us-gaap_RegulatoryAssetAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Asset [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryAssetAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryAssetAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAssetAxis" xlink:to="lab_us-gaap_RegulatoryAssetAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LeasesAbstract_c937d626-f6e3-4d49-b6d5-34cb68595fbd_terseLabel_en-US" xlink:label="lab_us-gaap_LeasesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Leases [Abstract]</link:label>
    <link:label id="lab_us-gaap_LeasesAbstract_label_en-US" xlink:label="lab_us-gaap_LeasesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Leases [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeasesAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeasesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LeasesAbstract" xlink:to="lab_us-gaap_LeasesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccountsPayableRelatedPartiesCurrent_f291463c-a078-4d7c-893d-74e771825e1c_terseLabel_en-US" xlink:label="lab_us-gaap_AccountsPayableRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable for natural gas purchases from Enable</link:label>
    <link:label id="lab_us-gaap_AccountsPayableRelatedPartiesCurrent_label_en-US" xlink:label="lab_us-gaap_AccountsPayableRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts Payable, Related Parties, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableRelatedPartiesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsPayableRelatedPartiesCurrent"/>
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    <link:label id="lab_us-gaap_TaxesExcludingIncomeAndExciseTaxes_7462aeef-ef94-4fca-94b0-1efb71524ec4_terseLabel_en-US" xlink:label="lab_us-gaap_TaxesExcludingIncomeAndExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Taxes other than income taxes</link:label>
    <link:label id="lab_us-gaap_TaxesExcludingIncomeAndExciseTaxes_label_en-US" xlink:label="lab_us-gaap_TaxesExcludingIncomeAndExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Taxes, Miscellaneous</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxesExcludingIncomeAndExciseTaxes" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxesExcludingIncomeAndExciseTaxes"/>
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    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_1eb9c077-5b6a-47e8-93b2-384973350611_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Type [Axis]</link:label>
    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Type [Axis]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongtermDebtTypeAxis" xlink:to="lab_us-gaap_LongtermDebtTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsCurrent_cbcf5644-1c47-4df8-abab-fed9755d081c_totalLabel_en-US" xlink:label="lab_us-gaap_AssetsCurrent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total current assets</link:label>
    <link:label id="lab_us-gaap_AssetsCurrent_f8a5946d-1129-447d-997d-70563b451136_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current assets</link:label>
    <link:label id="lab_us-gaap_AssetsCurrent_label_en-US" xlink:label="lab_us-gaap_AssetsCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsCurrent" xlink:to="lab_us-gaap_AssetsCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CorporateAndOtherMember_84bba59f-7ef8-4ba7-957f-ec8dcc022b28_terseLabel_en-US" xlink:label="lab_us-gaap_CorporateAndOtherMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Corporate and Other [Member]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateAndOtherMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CorporateAndOtherMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CorporateAndOtherMember" xlink:to="lab_us-gaap_CorporateAndOtherMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_b729bc30-ec35-4e98-a4cb-e07be20a6a04_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareAbstract" xlink:to="lab_us-gaap_EarningsPerShareAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLossCarryforwards_4da6104f-6b87-4c05-90d5-2650cbf4ed82_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLossCarryforwards" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating loss carryforwards</link:label>
    <link:label id="lab_us-gaap_OperatingLossCarryforwards_label_en-US" xlink:label="lab_us-gaap_OperatingLossCarryforwards" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Loss Carryforwards</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLossCarryforwards" xlink:to="lab_us-gaap_OperatingLossCarryforwards" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_659ecb7d-057b-4a11-99c8-16850b459e20_verboseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Assets and Liabilities [Table Text Block]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtNoncurrentAbstract_ff86de9c-a3d8-49b6-ab7d-fb39a7bf43a6_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt:</link:label>
    <link:label id="lab_us-gaap_LongTermDebtNoncurrentAbstract_label_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Excluding Current Maturities [Abstract]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtNoncurrentAbstract" xlink:to="lab_us-gaap_LongTermDebtNoncurrentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_WholesaleElectricSalesMember_3c1a6ddb-4b12-47b1-a784-6dabc6ce472b_terseLabel_en-US" xlink:label="lab_cnp_WholesaleElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Wholesale Electric Sales [Member]</link:label>
    <link:label id="lab_cnp_WholesaleElectricSalesMember_label_en-US" xlink:label="lab_cnp_WholesaleElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Wholesale Electric Sales [Member]</link:label>
    <link:label id="lab_cnp_WholesaleElectricSalesMember_documentation_en-US" xlink:label="lab_cnp_WholesaleElectricSalesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Wholesale Electric Sales [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WholesaleElectricSalesMember" xlink:href="cnp-20201231.xsd#cnp_WholesaleElectricSalesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WholesaleElectricSalesMember" xlink:to="lab_cnp_WholesaleElectricSalesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_61c15ed2-c44c-4328-b4b2-c39a619132a3_terseLabel_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of work yet to be completed on projects with open surety bonds</link:label>
    <link:label id="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_label_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of work yet to be completed on projects with open surety bonds</link:label>
    <link:label id="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_documentation_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage of work yet to be completed by wholly owned subsidiary on projects with open surety bonds.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:href="cnp-20201231.xsd#cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:to="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_e3f22970-685d-4559-beaa-97312a107e59_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prior service cost (2)</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_7c7530bd-950e-4982-85b5-ec4c90e29af2_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prior service cost (2)</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:to="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ChangeinContractLiabilityRollForward_3fa3f6f9-ea7c-443a-a1cb-08e7f7a1f8bf_terseLabel_en-US" xlink:label="lab_cnp_ChangeinContractLiabilityRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Liability [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinContractLiabilityRollForward_label_en-US" xlink:label="lab_cnp_ChangeinContractLiabilityRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Liability [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinContractLiabilityRollForward_documentation_en-US" xlink:label="lab_cnp_ChangeinContractLiabilityRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Liability [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ChangeinContractLiabilityRollForward" xlink:href="cnp-20201231.xsd#cnp_ChangeinContractLiabilityRollForward"/>
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    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member_8073b59f-a4a7-476d-9263-6e3f56292b3c_terseLabel_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in April 2025</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member_label_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in April 2025 [Member]</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member_documentation_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in April 2025</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:href="cnp-20201231.xsd#cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:to="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInApril2025Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_2fa3aa13-5782-4ea7-9b10-212655c6ac63_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group Name [Domain]</link:label>
    <link:label id="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_label_en-US" xlink:label="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain" xlink:to="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates_ad130cd3-af6e-4686-a6fb-7845b660b962_negatedTerseLabel_en-US" xlink:label="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts receivable/payable&#8211;affiliated companies</link:label>
    <link:label id="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates_label_en-US" xlink:label="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase decrease in Accounts receivable payable affiliates</link:label>
    <link:label id="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates_documentation_en-US" xlink:label="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The increase (decrease) in net accounts receivables and payables due to/from affiliates.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:href="cnp-20201231.xsd#cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:to="lab_cnp_IncreaseDecreaseInAccountsReceivablePayableAffiliates" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations_c8ba6dff-218f-42a4-b2d1-7a7bd2f361d3_terseLabel_en-US" xlink:label="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable related to capital expenditures</link:label>
    <link:label id="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations_label_en-US" xlink:label="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable related to capital expenditures, discontinued operations</link:label>
    <link:label id="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations_documentation_en-US" xlink:label="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable related to capital expenditures, discontinued operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:href="cnp-20201231.xsd#cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:to="lab_cnp_AccountsPayableRelatedToCapitalExpendituresDiscontinuedOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities_fd976243-ce35-460e-885f-6a3f9c6252ca_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net deferred tax liabilities on sale recognized as deferred income tax benefit by CenterPoint Energy</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Deferred Tax Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_BondsTransitionDueRange3Member_74032c11-d421-4927-a0ca-681f168636b6_terseLabel_en-US" xlink:label="lab_cnp_BondsTransitionDueRange3Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Transition bonds 2.161% to 3.028% due 2020 to 2024</link:label>
    <link:label id="lab_cnp_BondsTransitionDueRange3Member_label_en-US" xlink:label="lab_cnp_BondsTransitionDueRange3Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bonds Transition Due Range 3 [Member]</link:label>
    <link:label id="lab_cnp_BondsTransitionDueRange3Member_documentation_en-US" xlink:label="lab_cnp_BondsTransitionDueRange3Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bonds Transition Due Range 3 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_BondsTransitionDueRange3Member" xlink:href="cnp-20201231.xsd#cnp_BondsTransitionDueRange3Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_BondsTransitionDueRange3Member" xlink:to="lab_cnp_BondsTransitionDueRange3Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EnergyRelatedDerivativeMember_dacb31f2-6aa5-456a-9605-e3cda90dc71c_terseLabel_en-US" xlink:label="lab_us-gaap_EnergyRelatedDerivativeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Related Derivative [Member]</link:label>
    <link:label id="lab_us-gaap_EnergyRelatedDerivativeMember_label_en-US" xlink:label="lab_us-gaap_EnergyRelatedDerivativeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Related Derivative [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EnergyRelatedDerivativeMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EnergyRelatedDerivativeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EnergyRelatedDerivativeMember" xlink:to="lab_us-gaap_EnergyRelatedDerivativeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive_07189756-1aad-47cd-ac64-48b829516782_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2025</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Lived Intangible Asset, Expected Amortization, Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_b41a3765-e5e2-454e-b1a9-33d1287a776d_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalPeriodFocus" xlink:to="lab_dei_DocumentFiscalPeriodFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract_f940e145-6eab-4a37-8042-3aa121d7ca46_terseLabel_en-US" xlink:label="lab_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Enable Units [Abstract]</link:label>
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    <link:label id="lab_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract_documentation_en-US" xlink:label="lab_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Enable common units and Series A Preferred Units Held [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract" xlink:href="cnp-20201231.xsd#cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract" xlink:to="lab_cnp_EnablecommonunitsandSeriesAPreferredUnitsHeldAbstract" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract_7d4162bb-0edb-4b57-93e0-194d6a6bea9c_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amounts recognized in balance sheets</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract" xlink:to="lab_us-gaap_DefinedBenefitPlanAmountsRecognizedInBalanceSheetAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities_7a751bd7-2aa7-41e0-b3ac-b7dd9458bd5e_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net regulatory assets and liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Regulatory Assets and Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInRegulatoryAssetsAndLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherNonoperatingIncomeExpenseMember_7c31d5a4-8ccd-46ce-8a20-5b684a59c955_terseLabel_en-US" xlink:label="lab_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Nonoperating Income (Expense) [Member]</link:label>
    <link:label id="lab_us-gaap_OtherNonoperatingIncomeExpenseMember_50b11bb6-a846-45ff-a1ff-cb584265ba1c_verboseLabel_en-US" xlink:label="lab_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other, net [Member]</link:label>
    <link:label id="lab_us-gaap_OtherNonoperatingIncomeExpenseMember_label_en-US" xlink:label="lab_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Nonoperating Income (Expense) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpenseMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:to="lab_us-gaap_OtherNonoperatingIncomeExpenseMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment_3b3860f6-7a6e-474f-9cd7-03968b3ea8b0_totalLabel_en-US" xlink:label="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total other assets</link:label>
    <link:label id="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment_label_en-US" xlink:label="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">AssetsNoncurrentOtherThanPropertyPlantAndEquipment</link:label>
    <link:label id="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment_documentation_en-US" xlink:label="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sum of the carrying amounts as of the balance sheet date of assets that are expected to be realized in cash, sold or consumed after one year or beyond the normal operating cycle, if longer, excluding property, plant and equipment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:href="cnp-20201231.xsd#cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:to="lab_cnp_AssetsNoncurrentOtherThanPropertyPlantAndEquipment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_595dfb41-e9dc-4d84-ac22-154a22fe6ee0_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ZENS annual interest rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_6b327e2e-a8fc-49cd-9b00-79ee806bcbbb_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt instrument interest rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument, Interest Rate, Stated Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableCurrent_a6e386fa-6c60-4d89-a96d-99f421c0ea3b_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends accrued</link:label>
    <link:label id="lab_us-gaap_DividendsPayableCurrent_label_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Dividends Payable, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DividendsPayableCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableCurrent" xlink:to="lab_us-gaap_DividendsPayableCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate_6071c5d8-9bfc-4fa7-a360-f3370e0147b6_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Declaration Date</link:label>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate_label_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distribution Made to Limited Partner, Declaration Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DistributionMadeToLimitedPartnerDeclarationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1_ad389fdc-5aaa-49ba-be52-31cf910df72c_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Expected timing of satisfaction, period</link:label>
    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1_label_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1" xlink:to="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock_2a956f30-afc7-4ca0-8b5c-54fd40a31b6b_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Accumulated Benefit Obligations in Excess of Fair Value of Plan Assets [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfAccumulatedBenefitObligationsInExcessOfFairValueOfPlanAssetsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_0307d116-6b90-4d62-90ee-237b5994e449_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Related Party Transactions [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Related Party Transactions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage_fbe2fb09-c017-4a0b-bd09-ec83f098c45e_terseLabel_en-US" xlink:label="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Contribution Plan, Maximum Limit Of Account Balance In Company Stock, Percentage</link:label>
    <link:label id="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage_label_en-US" xlink:label="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Contribution Plan, Maximum Limit Of Account Balance In Company Stock, Percentage</link:label>
    <link:label id="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage_documentation_en-US" xlink:label="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the maximum percentage allowed of total account balance invested in company stock.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:href="cnp-20201231.xsd#cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:to="lab_cnp_DefinedContributionPlanMaximumLimitOfAccountBalanceInCompanyStockPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareDilutedAbstract_bfbe2a1b-54ef-4dc1-9c73-0e4f07fd5023_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDilutedAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share, Diluted [Abstract]</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareDilutedAbstract_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareDilutedAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share, Diluted [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDilutedAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareDilutedAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareDilutedAbstract" xlink:to="lab_us-gaap_EarningsPerShareDilutedAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_8de66641-d8df-49d1-b877-a22b7e5fac9b_terseLabel_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total distributions received from Enable</link:label>
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_label_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total distributions received from Enable</link:label>
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_documentation_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the total amount of distributions received related to both equity method investments and cost method investments from Enable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TotaldistributionsreceivedfromEnable" xlink:href="cnp-20201231.xsd#cnp_TotaldistributionsreceivedfromEnable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TotaldistributionsreceivedfromEnable" xlink:to="lab_cnp_TotaldistributionsreceivedfromEnable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NonoperatingIncomeExpense_5ab4ba4c-5a27-487d-b5ce-01f3194ad223_totalLabel_en-US" xlink:label="lab_us-gaap_NonoperatingIncomeExpense" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_NonoperatingIncomeExpense_label_en-US" xlink:label="lab_us-gaap_NonoperatingIncomeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Nonoperating Income (Expense)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NonoperatingIncomeExpense" xlink:to="lab_us-gaap_NonoperatingIncomeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LeaseDisclosureLineItems_6739398f-222e-4d76-a586-290ec2ed4cbe_terseLabel_en-US" xlink:label="lab_cnp_LeaseDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease Disclosure [Line Items]</link:label>
    <link:label id="lab_cnp_LeaseDisclosureLineItems_label_en-US" xlink:label="lab_cnp_LeaseDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease Disclosure [Line Items]</link:label>
    <link:label id="lab_cnp_LeaseDisclosureLineItems_documentation_en-US" xlink:label="lab_cnp_LeaseDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">[Line Items] for Lease Disclosure [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LeaseDisclosureLineItems" xlink:href="cnp-20201231.xsd#cnp_LeaseDisclosureLineItems"/>
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    <link:label id="lab_us-gaap_LossContingencyNatureDomain_ea2f0ed6-d2f7-4481-8e36-f1f2aaee6945_terseLabel_en-US" xlink:label="lab_us-gaap_LossContingencyNatureDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss Contingency, Nature [Domain]</link:label>
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    <link:label id="lab_us-gaap_GasDistributionEquipmentMember_10f41147-54ec-4616-8f4a-e3478e7cb77d_terseLabel_en-US" xlink:label="lab_us-gaap_GasDistributionEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas Distribution [Member]</link:label>
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    <link:label id="lab_us-gaap_AdditionalPaidInCapital_5ed9f149-0449-4486-8c5d-944c8cc3c44e_verboseLabel_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapital" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Additional paid-in capital</link:label>
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    <link:label id="lab_us-gaap_StatementClassOfStockAxis_1ffa73f0-eac6-429d-9b41-2085539e2120_terseLabel_en-US" xlink:label="lab_us-gaap_StatementClassOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Class of Stock [Axis]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxesPaidNet" xlink:to="lab_us-gaap_IncomeTaxesPaidNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromDivestitureOfBusinesses_46f084cb-5fd3-4ac9-be01-7a17deb3d451_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromDivestitureOfBusinesses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from divestitures (Note 4)</link:label>
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    <link:label id="lab_us-gaap_GainLossOnSalesOfAssetsAndAssetImpairmentCharges_da22b6cd-66bb-4f5b-9ced-12f59431f9e5_terseLabel_en-US" xlink:label="lab_us-gaap_GainLossOnSalesOfAssetsAndAssetImpairmentCharges" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss on classification to held for sale, net (2)</link:label>
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    <link:label id="lab_cnp_UtilitypipelineconstructioncompanyMember_ba593fb6-b299-48f2-af02-6ea0546ef712_terseLabel_en-US" xlink:label="lab_cnp_UtilitypipelineconstructioncompanyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Utility pipeline construction company [Member]</link:label>
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    <link:label id="lab_cnp_UtilitypipelineconstructioncompanyMember_documentation_en-US" xlink:label="lab_cnp_UtilitypipelineconstructioncompanyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Utility pipeline construction company [Member]</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax_7ff3261e-4659-460a-9872-4463dabb44cf_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), before Reclassification, Tax</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), before Reclassification, Tax</link:label>
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    <link:label id="lab_us-gaap_OciEquityMethodInvestmentBeforeTax_58d82e8c-f1ac-46e0-b870-e2707ea42d1f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OciEquityMethodInvestmentBeforeTax" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other comprehensive loss from unconsolidated affiliates</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax_a40598de-3d0e-4d25-9e92-4e827227a9e5_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Tax</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesTax"/>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense_98fcfdef-62ac-492a-ac07-eeede44a4472_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation and maintenance</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Operation and Maintenance Expense</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The amount of operating expenses for the period that are associated with the discontinued operation's normal revenue producing operation; including selling, general, and administrative expenses, costs incurred for routine plant repairs and maintenance, and operations.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:href="cnp-20201231.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:to="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationAndMaintenanceExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MarketableSecuritiesGainLoss_a399812d-5a84-4e1e-b0e2-df98b9cf5537_terseLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gain (loss) on marketable securities</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesGainLoss_a849cfe9-5f66-41f4-ac9b-47eef08de441_verboseLabel_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gain (loss) on ZENS-Related Securities</link:label>
    <link:label id="lab_us-gaap_MarketableSecuritiesGainLoss_label_en-US" xlink:label="lab_us-gaap_MarketableSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Marketable Securities, Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketableSecuritiesGainLoss" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MarketableSecuritiesGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketableSecuritiesGainLoss" xlink:to="lab_us-gaap_MarketableSecuritiesGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Depreciation_d6bf90b4-9390-44f5-8dc9-17e14c26692a_terseLabel_en-US" xlink:label="lab_us-gaap_Depreciation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation</link:label>
    <link:label id="lab_us-gaap_Depreciation_label_en-US" xlink:label="lab_us-gaap_Depreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Depreciation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Depreciation" xlink:to="lab_us-gaap_Depreciation" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressAddressLine1_87fa4bd6-230e-4539-8eab-c7ca9f2e9133_terseLabel_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Address, Address Line One</link:label>
    <link:label id="lab_dei_EntityAddressAddressLine1_label_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Address, Address Line One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityAddressAddressLine1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressAddressLine1" xlink:to="lab_dei_EntityAddressAddressLine1" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityEmergingGrowthCompany_49b200e8-e68b-4db0-9767-f527e15f4447_terseLabel_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Emerging Growth Company</link:label>
    <link:label id="lab_dei_EntityEmergingGrowthCompany_label_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Emerging Growth Company</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityEmergingGrowthCompany" xlink:to="lab_dei_EntityEmergingGrowthCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member_04de4bf1-cfc3-4bc6-8dcc-1390bb2f4a78_terseLabel_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in May 2021</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member_label_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in May 2021 [Member]</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member_documentation_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in May 2021</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:href="cnp-20201231.xsd#cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:to="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringInMay2021Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionsProFormaRevenue_af77f7ed-bb42-46c3-ba00-ccab87604720_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionsProFormaRevenue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Revenue</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionsProFormaRevenue_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionsProFormaRevenue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition, Pro Forma Revenue</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionsProFormaRevenue" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionsProFormaRevenue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionsProFormaRevenue" xlink:to="lab_us-gaap_BusinessAcquisitionsProFormaRevenue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredIncomeTaxExpenseBenefit_1483c243-0f9f-4a6f-87a6-e107914c3027_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred income taxes</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxExpenseBenefit_b1addca3-07cb-4213-a41b-c2cf1953d682_totalLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total deferred expense (benefit)</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Income Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DepositarySharesMember_5d4d80f6-d8ee-43bc-9828-9f01ac95eef8_terseLabel_en-US" xlink:label="lab_cnp_DepositarySharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary shares, each representing a 1/20th interest in a share of 7.00% Series B Mandatory Convertible Preferred Stock, $0.01 par value</link:label>
    <link:label id="lab_cnp_DepositarySharesMember_label_en-US" xlink:label="lab_cnp_DepositarySharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary Shares [Member]</link:label>
    <link:label id="lab_cnp_DepositarySharesMember_documentation_en-US" xlink:label="lab_cnp_DepositarySharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary Shares [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DepositarySharesMember" xlink:href="cnp-20201231.xsd#cnp_DepositarySharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DepositarySharesMember" xlink:to="lab_cnp_DepositarySharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty_0c513890-2c1f-4b9f-9f4f-cc77d9230fe5_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction, Other Revenues from Transactions with Related Party</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction, Other Revenues from Transactions with Related Party</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:to="lab_us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_07dc78ae-9183-45e6-9fe3-3c94a47b467e_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Liabilities Fair Value</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Liability, Fair Value, Gross Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TargetAnnualYieldOnReferenceShares_0ca08bfa-7dac-4e2c-a17f-dd680a75068c_terseLabel_en-US" xlink:label="lab_cnp_TargetAnnualYieldOnReferenceShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Target Annual Yield On Reference Shares</link:label>
    <link:label id="lab_cnp_TargetAnnualYieldOnReferenceShares_label_en-US" xlink:label="lab_cnp_TargetAnnualYieldOnReferenceShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Target Annual Yield On Reference Shares</link:label>
    <link:label id="lab_cnp_TargetAnnualYieldOnReferenceShares_documentation_en-US" xlink:label="lab_cnp_TargetAnnualYieldOnReferenceShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The target annual yield from interest and cash dividends on reference shares, before any adjustment to increase or decrease principal amount of subordinated note is made.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TargetAnnualYieldOnReferenceShares" xlink:href="cnp-20201231.xsd#cnp_TargetAnnualYieldOnReferenceShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TargetAnnualYieldOnReferenceShares" xlink:to="lab_cnp_TargetAnnualYieldOnReferenceShares" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_COVID19ERPRegulatoryLiability_3bf3f476-cb7c-414d-a24c-4121fd817ff6_terseLabel_en-US" xlink:label="lab_cnp_COVID19ERPRegulatoryLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">COVID-19 ERP Regulatory Liability</link:label>
    <link:label id="lab_cnp_COVID19ERPRegulatoryLiability_label_en-US" xlink:label="lab_cnp_COVID19ERPRegulatoryLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">COVID-19 ERP Regulatory Liability</link:label>
    <link:label id="lab_cnp_COVID19ERPRegulatoryLiability_documentation_en-US" xlink:label="lab_cnp_COVID19ERPRegulatoryLiability" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">COVID-19 ERP Regulatory Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_COVID19ERPRegulatoryLiability" xlink:href="cnp-20201231.xsd#cnp_COVID19ERPRegulatoryLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_COVID19ERPRegulatoryLiability" xlink:to="lab_cnp_COVID19ERPRegulatoryLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_e291a3c3-4e1f-4206-9317-bfed32faa7b9_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accumulated Amortization</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Lived Intangible Assets, Accumulated Amortization</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MaximumMember_882403c8-6eb1-4a54-a02b-e8772c868635_terseLabel_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Maximum [Member]</link:label>
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_e2432330-5cb9-4b2a-8d4f-7dddc98a878e_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Remaining average contractual life of nonvested shares outstanding (in years)</link:label>
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    <link:label id="lab_cnp_PublicunitholdersMember_c6b3146f-5e17-4d29-b39d-09cdb0398125_terseLabel_en-US" xlink:label="lab_cnp_PublicunitholdersMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public unitholders [Member]</link:label>
    <link:label id="lab_cnp_PublicunitholdersMember_label_en-US" xlink:label="lab_cnp_PublicunitholdersMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public unitholders [Member]</link:label>
    <link:label id="lab_cnp_PublicunitholdersMember_documentation_en-US" xlink:label="lab_cnp_PublicunitholdersMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public unitholders [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PublicunitholdersMember" xlink:href="cnp-20201231.xsd#cnp_PublicunitholdersMember"/>
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    <link:label id="lab_us-gaap_PaymentOfFinancingAndStockIssuanceCosts_f06993be-7c9f-4ed4-b37b-eae9b6344b29_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentOfFinancingAndStockIssuanceCosts" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payment of debt issuance costs</link:label>
    <link:label id="lab_us-gaap_PaymentOfFinancingAndStockIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentOfFinancingAndStockIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payment of Financing and Stock Issuance Costs</link:label>
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    <link:label id="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_label_en-US" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
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    <link:label id="lab_cnp_Creditfacilityswinglinesublimit_f5620254-11f7-409d-a08d-bcd2e1ced88b_terseLabel_en-US" xlink:label="lab_cnp_Creditfacilityswinglinesublimit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Credit facility swing line sublimit</link:label>
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    <link:label id="lab_us-gaap_OtherCapitalizedPropertyPlantAndEquipmentMember_c2a58aa0-0a2c-46d8-9e2e-ecbe28f17b83_terseLabel_en-US" xlink:label="lab_us-gaap_OtherCapitalizedPropertyPlantAndEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other property [Member]</link:label>
    <link:label id="lab_us-gaap_OtherCapitalizedPropertyPlantAndEquipmentMember_label_en-US" xlink:label="lab_us-gaap_OtherCapitalizedPropertyPlantAndEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Capitalized Property Plant and Equipment [Member]</link:label>
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    <link:label id="lab_cnp_IncentiveDistributionRightPercentage_877a9c40-d0b1-49be-b697-7ef9100f78bf_terseLabel_en-US" xlink:label="lab_cnp_IncentiveDistributionRightPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Incentive distribution right</link:label>
    <link:label id="lab_cnp_IncentiveDistributionRightPercentage_label_en-US" xlink:label="lab_cnp_IncentiveDistributionRightPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Incentive Distribution Right, Percentage</link:label>
    <link:label id="lab_cnp_IncentiveDistributionRightPercentage_documentation_en-US" xlink:label="lab_cnp_IncentiveDistributionRightPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity's interest in incentive distribution rights held by the general partner.</link:label>
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    <link:label id="lab_dei_EntityShellCompany_3721288a-5db2-4f7f-ab4f-61238b384907_terseLabel_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Shell Company</link:label>
    <link:label id="lab_dei_EntityShellCompany_label_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Shell Company</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityShellCompany" xlink:to="lab_dei_EntityShellCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentReportingInformationLineItems_767f9744-7283-4331-805e-376033bbe7be_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentReportingInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Reporting Information [Line Items]</link:label>
    <link:label id="lab_us-gaap_SegmentReportingInformationLineItems_label_en-US" xlink:label="lab_us-gaap_SegmentReportingInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Reporting Information [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems" xlink:to="lab_us-gaap_SegmentReportingInformationLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementsRecurringMember_43616b8b-60d8-4e5f-ad5a-b4e33cabfeb1_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsRecurringMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Measurements, Recurring [Member]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsRecurringMember_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsRecurringMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Recurring [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsRecurringMember" xlink:to="lab_us-gaap_FairValueMeasurementsRecurringMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_A120DaysAfterConclusionofRevieworAppealMember_e1334168-1c8c-4ea8-b21b-1d74b7f9187e_terseLabel_en-US" xlink:label="lab_cnp_A120DaysAfterConclusionofRevieworAppealMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">120 Days After Conclusion of Review or Appeal [Member]</link:label>
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    <link:label id="lab_cnp_A120DaysAfterConclusionofRevieworAppealMember_documentation_en-US" xlink:label="lab_cnp_A120DaysAfterConclusionofRevieworAppealMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">120 Days After Conclusion of Review or Appeal [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_A120DaysAfterConclusionofRevieworAppealMember" xlink:href="cnp-20201231.xsd#cnp_A120DaysAfterConclusionofRevieworAppealMember"/>
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    <link:label id="lab_us-gaap_IncomeTaxReconciliationOtherReconcilingItems_674e2fe9-0f9c-43fa-91fa-46cec5ca8392_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxReconciliationOtherReconcilingItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other, net</link:label>
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    <link:label id="lab_dei_EntityPublicFloat_84b60dd5-0b8a-4201-9344-4425654afed9_terseLabel_en-US" xlink:label="lab_dei_EntityPublicFloat" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Public Float</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityPublicFloat" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityPublicFloat"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityPublicFloat" xlink:to="lab_dei_EntityPublicFloat" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryAgencyDomain_a464338c-40a8-4258-a360-9560605c1437_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAgencyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Agency [Domain]</link:label>
    <link:label id="lab_us-gaap_RegulatoryAgencyDomain_label_en-US" xlink:label="lab_us-gaap_RegulatoryAgencyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Agency [Domain]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAgencyDomain" xlink:to="lab_us-gaap_RegulatoryAgencyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_UnamortizedDebtIssuanceCostsMember_4dbcf511-1b3e-44f8-bbaf-348600103c0e_terseLabel_en-US" xlink:label="lab_cnp_UnamortizedDebtIssuanceCostsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unamortized Debt</link:label>
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    <link:label id="lab_cnp_UnamortizedDebtIssuanceCostsMember_documentation_en-US" xlink:label="lab_cnp_UnamortizedDebtIssuanceCostsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unamortized Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_UnamortizedDebtIssuanceCostsMember" xlink:href="cnp-20201231.xsd#cnp_UnamortizedDebtIssuanceCostsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_UnamortizedDebtIssuanceCostsMember" xlink:to="lab_cnp_UnamortizedDebtIssuanceCostsMember" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_LesseeLeasesPolicyTextBlock_62d8783a-634f-4005-a518-00aac6ccc95b_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeLeasesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Leases [Policy Text Block]</link:label>
    <link:label id="lab_us-gaap_LesseeLeasesPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_LesseeLeasesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Leases [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeLeasesPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeLeasesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LesseeLeasesPolicyTextBlock" xlink:to="lab_us-gaap_LesseeLeasesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AmountsrelatedtoTCJAMember_57c6583f-847a-4f5e-8f4a-1f5d01de9095_terseLabel_en-US" xlink:label="lab_cnp_AmountsrelatedtoTCJAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amounts related to TCJA [Member]</link:label>
    <link:label id="lab_cnp_AmountsrelatedtoTCJAMember_label_en-US" xlink:label="lab_cnp_AmountsrelatedtoTCJAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amounts related to TCJA [Member]</link:label>
    <link:label id="lab_cnp_AmountsrelatedtoTCJAMember_documentation_en-US" xlink:label="lab_cnp_AmountsrelatedtoTCJAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amounts related to TCJA [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AmountsrelatedtoTCJAMember" xlink:href="cnp-20201231.xsd#cnp_AmountsrelatedtoTCJAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AmountsrelatedtoTCJAMember" xlink:to="lab_cnp_AmountsrelatedtoTCJAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain_809979ff-9e37-4f3b-89a0-a2fa9de42601_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Purchase Commitment, Category of Item Purchased [Domain]</link:label>
    <link:label id="lab_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain_label_en-US" xlink:label="lab_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Purchase Commitment, Category of Item Purchased [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain" xlink:to="lab_us-gaap_LongTermPurchaseCommitmentCategoryOfItemPurchasedDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LongtermDebtGrossNoncurrent_ea36299a-3184-469c-bd20-e1ad8d5f1cde_negatedTerseLabel_en-US" xlink:label="lab_cnp_LongtermDebtGrossNoncurrent" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-Term</link:label>
    <link:label id="lab_cnp_LongtermDebtGrossNoncurrent_6c7cac93-d261-4e90-b17e-4dc306dfa2c1_terseLabel_en-US" xlink:label="lab_cnp_LongtermDebtGrossNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-Term</link:label>
    <link:label id="lab_cnp_LongtermDebtGrossNoncurrent_label_en-US" xlink:label="lab_cnp_LongtermDebtGrossNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Gross, Noncurrent</link:label>
    <link:label id="lab_cnp_LongtermDebtGrossNoncurrent_documentation_en-US" xlink:label="lab_cnp_LongtermDebtGrossNoncurrent" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of long-term debt, noncurrent portion, before deduction of unamortized discount or premium. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt, with initial maturities beyond one year or the normal operating cycle, if longer.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LongtermDebtGrossNoncurrent" xlink:href="cnp-20201231.xsd#cnp_LongtermDebtGrossNoncurrent"/>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid_78557a00-8c42-4c63-8c31-3a9ae4f108d7_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefits paid</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Plan Assets, Benefits Paid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:to="lab_us-gaap_DefinedBenefitPlanPlanAssetsBenefitsPaid" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Salespriceofoutstandingequityinterests_d7669a93-b42c-438e-9842-225bc6ff2c5c_terseLabel_en-US" xlink:label="lab_cnp_Salespriceofoutstandingequityinterests" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sales price of outstanding equity interests</link:label>
    <link:label id="lab_cnp_Salespriceofoutstandingequityinterests_label_en-US" xlink:label="lab_cnp_Salespriceofoutstandingequityinterests" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sales price of outstanding equity interests</link:label>
    <link:label id="lab_cnp_Salespriceofoutstandingequityinterests_documentation_en-US" xlink:label="lab_cnp_Salespriceofoutstandingequityinterests" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sales price of outstanding equity interests</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Salespriceofoutstandingequityinterests" xlink:href="cnp-20201231.xsd#cnp_Salespriceofoutstandingequityinterests"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Salespriceofoutstandingequityinterests" xlink:to="lab_cnp_Salespriceofoutstandingequityinterests" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditMember_7a454a6b-d6a5-459f-b890-688ef7d57295_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Line of Credit [Member]</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_label_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Line of Credit [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditMember" xlink:to="lab_us-gaap_LineOfCreditMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_2a0905fa-c07b-46e7-b3df-4ee6616e14b1_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2026 and beyond</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessor, Operating Lease, Payment to be Received, after Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_4c625e29-aba8-4a89-8100-162e88ae165e_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Other Noncurrent Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_b747d22b-1f45-4c2e-9f25-f43be9ba7c26_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred income taxes, net</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Income Tax Liabilities, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:to="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_a5f5a936-5517-4cd4-a754-4c7bb0294eb3_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Instruments [Text Block]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery_d70bd183-a97a-49cc-8f62-bc74bc67b8cd_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fuel cost recovery</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in over (under) Energy Recovery</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery" xlink:to="lab_us-gaap_IncreaseDecreaseInOverUnderEnergyRecovery" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestCostsCapitalizedAdjustment_91f1b8b3-91bb-485a-9ae8-76cfa7a1a1ef_terseLabel_en-US" xlink:label="lab_us-gaap_InterestCostsCapitalizedAdjustment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest and AFUDC debt (1)</link:label>
    <link:label id="lab_us-gaap_InterestCostsCapitalizedAdjustment_label_en-US" xlink:label="lab_us-gaap_InterestCostsCapitalizedAdjustment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Costs Capitalized Adjustment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestCostsCapitalizedAdjustment" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestCostsCapitalizedAdjustment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestCostsCapitalizedAdjustment" xlink:to="lab_us-gaap_InterestCostsCapitalizedAdjustment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DepreciationAndAmortizationAbstract_b7765852-9eea-453c-b640-8a4c623ab181_terseLabel_en-US" xlink:label="lab_us-gaap_DepreciationAndAmortizationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and Amortization [Abstract]</link:label>
    <link:label id="lab_us-gaap_DepreciationAndAmortizationAbstract_label_en-US" xlink:label="lab_us-gaap_DepreciationAndAmortizationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation, Depletion and Amortization [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortizationAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepreciationAndAmortizationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DepreciationAndAmortizationAbstract" xlink:to="lab_us-gaap_DepreciationAndAmortizationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables_8573bf66-a426-4fd2-914e-33884cbf750d_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts receivable and unbilled revenues, net</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Accounts and Other Receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingIncomeLoss_85f0fa44-f1cd-4eca-a6c0-46199fb30c98_totalLabel_en-US" xlink:label="lab_us-gaap_OperatingIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Income</link:label>
    <link:label id="lab_us-gaap_OperatingIncomeLoss_label_en-US" xlink:label="lab_us-gaap_OperatingIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Income (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingIncomeLoss" xlink:to="lab_us-gaap_OperatingIncomeLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_ce958cb1-603d-4918-afee-79ef19e636e4_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt issuance costs</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payments of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:to="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PostemploymentBenefitsAbstract_fa07557c-075e-4388-ab93-2c69c6952fef_terseLabel_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment Benefits [Abstract]</link:label>
    <link:label id="lab_us-gaap_PostemploymentBenefitsAbstract_label_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment Benefits [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PostemploymentBenefitsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PostemploymentBenefitsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PostemploymentBenefitsAbstract" xlink:to="lab_us-gaap_PostemploymentBenefitsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility_44596030-ff48-497d-bbd4-02a86b62add8_terseLabel_en-US" xlink:label="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental remediation number of sites with potential remedial responsibility</link:label>
    <link:label id="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility_label_en-US" xlink:label="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental remediation number of sites with potential remedial responsibility</link:label>
    <link:label id="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility_documentation_en-US" xlink:label="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of sites identified where the entity may potentially have some remedial responsibility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility" xlink:href="cnp-20201231.xsd#cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility"/>
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    <link:label id="lab_us-gaap_OtherLongTermDebtNoncurrent_688b23f1-991f-4ba7-9c59-748f51775dca_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLongTermDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other long-term debt, net</link:label>
    <link:label id="lab_us-gaap_OtherLongTermDebtNoncurrent_label_en-US" xlink:label="lab_us-gaap_OtherLongTermDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Long-term Debt, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLongTermDebtNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLongTermDebtNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLongTermDebtNoncurrent" xlink:to="lab_us-gaap_OtherLongTermDebtNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CumulativePreferredStockMember_a7935e51-449d-4143-9d28-3e26d6913794_terseLabel_en-US" xlink:label="lab_us-gaap_CumulativePreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cumulative Preferred Stock [Member]</link:label>
    <link:label id="lab_us-gaap_CumulativePreferredStockMember_label_en-US" xlink:label="lab_us-gaap_CumulativePreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cumulative Preferred Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CumulativePreferredStockMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CumulativePreferredStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CumulativePreferredStockMember" xlink:to="lab_us-gaap_CumulativePreferredStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SeveranceCosts1_2efc5115-b3b1-4ad0-b26d-240e4a726df6_terseLabel_en-US" xlink:label="lab_us-gaap_SeveranceCosts1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Severance expense related to the Merger</link:label>
    <link:label id="lab_us-gaap_SeveranceCosts1_label_en-US" xlink:label="lab_us-gaap_SeveranceCosts1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Severance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeveranceCosts1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeveranceCosts1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SeveranceCosts1" xlink:to="lab_us-gaap_SeveranceCosts1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock_eb3db195-0069-4f77-9a40-9692c7b229de_terseLabel_en-US" xlink:label="lab_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-lived Assets, Goodwill and Intangibles</link:label>
    <link:label id="lab_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Impairment or Disposal of Long-Lived Assets, Including Intangible Assets, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock" xlink:to="lab_us-gaap_ImpairmentOrDisposalOfLongLivedAssetsIncludingIntangibleAssetsPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock_1a984981-69da-48ea-ac03-2ef718daa4b8_terseLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract with Customer, Asset and Liability [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract with Customer, Contract Asset, Contract Liability, and Receivable [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock" xlink:to="lab_us-gaap_ContractWithCustomerAssetAndLiabilityTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PurchaseObligationDueAfterFifthYear_869d0b2a-57d6-40b2-a2e1-8291031cf9df_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueAfterFifthYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2026 and beyond</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationDueAfterFifthYear_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueAfterFifthYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Purchase Obligation, to be Paid, after Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PurchaseObligationDueAfterFifthYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PurchaseObligationDueAfterFifthYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PurchaseObligationDueAfterFifthYear" xlink:to="lab_us-gaap_PurchaseObligationDueAfterFifthYear" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_VariableRateAxis_5e5bbc9c-4347-459d-afbb-038addda1d96_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:label id="lab_us-gaap_VariableRateAxis_label_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateAxis" xlink:to="lab_us-gaap_VariableRateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IndexedDebtSecuritiesDerivative_2f493cbd-af60-4588-8037-89726ee76ed4_terseLabel_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesDerivative" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indexed debt securities derivative</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesDerivative_4d4ea9a8-b777-4f92-a65a-4997e6eed8c1_periodStartLabel_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesDerivative" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Component of ZENS</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesDerivative_e2623743-e0b0-44eb-83bb-767d1690e896_periodEndLabel_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesDerivative" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Component of ZENS</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesDerivative_label_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesDerivative" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indexed debt securities derivative</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IndexedDebtSecuritiesDerivative" xlink:href="cnp-20201231.xsd#cnp_IndexedDebtSecuritiesDerivative"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IndexedDebtSecuritiesDerivative" xlink:to="lab_cnp_IndexedDebtSecuritiesDerivative" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_f4b87d9e-4f0f-4406-a4e4-8443a943e4e6_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Business Acquisitions, by Acquisition [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Business Acquisitions, by Acquisition [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:to="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_996ef246-75a3-43b3-b4cf-809e5edd4c7f_verboseLabel_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingencies" xlink:to="lab_us-gaap_CommitmentsAndContingencies" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies_ab15816b-ab5f-4a96-bf96-351de170243d_terseLabel_en-US" xlink:label="lab_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantees</link:label>
    <link:label id="lab_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies_label_en-US" xlink:label="lab_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantees, Indemnifications and Warranties Policies [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies" xlink:to="lab_us-gaap_GuaranteesIndemnificationsAndWarrantiesPolicies" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_98e41172-c3e5-48de-8b82-c77a8a53e15e_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2026 and beyond</link:label>
    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_label_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Operating Lease, Liability, to be Paid, after Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:to="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract_8b45f96e-00eb-4f91-8087-2ef222e64102_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Difference Between Carrying Amount and Underlying Equity [Abstract]</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Difference Between Carrying Amount and Underlying Equity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract" xlink:to="lab_us-gaap_EquityMethodInvestmentDifferenceBetweenCarryingAmountAndUnderlyingEquityAbstract" xlink:type="arc" order="1"/>
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    <link:label id="lab_cnp_CumulativePreferredStock_documentation_en-US" xlink:label="lab_cnp_CumulativePreferredStock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the caption on the face of the balance sheet represent total cumulative preferred stock presented in detail within the Shareholder's Equity section.</link:label>
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_9b2e9864-9b43-4045-8051-38c663f6688f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vested and released to participants (in shares)</link:label>
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    <link:label id="lab_us-gaap_SecuredDebt_c69906ea-72e9-4ff3-9f89-5ebc76746b40_terseLabel_en-US" xlink:label="lab_us-gaap_SecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of debt secured by general mortgage bonds</link:label>
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    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_4febf602-f5d1-40d6-acb4-593958ee76ee_verboseLabel_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retained earnings (accumulated deficit)</link:label>
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    <link:label id="lab_us-gaap_PublicUtilitiesInventory_3b72966a-8b6e-465a-bbd1-2ca428e66788_terseLabel_en-US" xlink:label="lab_us-gaap_PublicUtilitiesInventory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Materials and supplies</link:label>
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    <link:label id="lab_us-gaap_OperatingLeaseRightOfUseAsset_904c8e4f-5daf-439f-ac92-28cecd324612_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseRightOfUseAsset" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating ROU assets (1)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
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    <link:label id="lab_us-gaap_RepaymentsOfLinesOfCredit_f0b7249e-37cf-4cf7-bc8f-de336eeacc15_negatedLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Repayments of Lines of Credit</link:label>
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    <link:label id="lab_cnp_ElectricDeliveryMember_81a857a7-d94b-4faa-a390-6dd2ed404011_terseLabel_en-US" xlink:label="lab_cnp_ElectricDeliveryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric Delivery [Member]</link:label>
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    <link:label id="lab_cnp_ElectricDeliveryMember_documentation_en-US" xlink:label="lab_cnp_ElectricDeliveryMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents revenues from electric transmission and distribution sales</link:label>
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    <link:label id="lab_cnp_PeriodDomain_label_en-US" xlink:label="lab_cnp_PeriodDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period [Domain]</link:label>
    <link:label id="lab_cnp_PeriodDomain_documentation_en-US" xlink:label="lab_cnp_PeriodDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period</link:label>
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    <link:label id="lab_us-gaap_JointlyOwnedUtilityPlantGrossOwnershipAmountOfPlantInService_612319ae-ea9d-4502-9aff-f9aa8271807c_terseLabel_en-US" xlink:label="lab_us-gaap_JointlyOwnedUtilityPlantGrossOwnershipAmountOfPlantInService" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">SIGECO's share of cost of Warrick Unit 4</link:label>
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    <link:label id="lab_us-gaap_ConvertibleDebtTableTextBlock_accc1e5b-9a99-47b8-b889-01e75ae5964b_terseLabel_en-US" xlink:label="lab_us-gaap_ConvertibleDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Convertible Debt [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ConvertibleDebtTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ConvertibleDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Convertible Debt [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConvertibleDebtTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConvertibleDebtTableTextBlock"/>
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    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis_ac63ab4b-2873-4e6c-a844-3bbccd81ad7d_terseLabel_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments [Axis]</link:label>
    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis_label_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments [Axis]</link:label>
    <link:label id="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis_documentation_en-US" xlink:label="lab_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis" xlink:href="cnp-20201231.xsd#cnp_EffectiveIncomeTaxRateReconciliationOtherAdjustmentsAxis"/>
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    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_02a4efa8-8ea4-4b48-88d3-d3e6dcc7b7ef_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, plant and equipment, net</link:label>
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    <link:label id="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_bea0ed10-3807-4280-bb9d-59c9f635517c_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Shareholders&#8217; Equity:</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityNotionalAmount" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeLiabilityNotionalAmount"/>
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    <link:label id="lab_us-gaap_ScheduleOfChangeInAssetRetirementObligationTableTextBlock_949115c9-91ba-4033-8cfb-eae1cf93929c_verboseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfChangeInAssetRetirementObligationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Retirement Obligation [Table Text Block]</link:label>
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    <link:label id="lab_srt_MajorCustomersAxis_7af676ea-792a-4f95-baf4-4d3bf65131c9_verboseLabel_en-US" xlink:label="lab_srt_MajorCustomersAxis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Major Customers [Axis]</link:label>
    <link:label id="lab_srt_MajorCustomersAxis_label_en-US" xlink:label="lab_srt_MajorCustomersAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Customer [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MajorCustomersAxis" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MajorCustomersAxis"/>
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    <link:label id="lab_us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet_96060304-9116-4ae4-9864-9aafd750caf2_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gain (loss) on derivative instruments not designated as hedging instruments</link:label>
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    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_f66d9abd-4a26-4e25-b59d-ab6e9678c1ca_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:to="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgingDesignationDomain_8d6b4e58-a5df-47dc-a732-e3a978dd1fba_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingDesignationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hedging Designation [Domain]</link:label>
    <link:label id="lab_us-gaap_HedgingDesignationDomain_label_en-US" xlink:label="lab_us-gaap_HedgingDesignationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hedging Designation [Domain]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingDesignationDomain" xlink:to="lab_us-gaap_HedgingDesignationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LeaseCost_bc3a0b56-6dd8-4acf-98cf-695a7b7c8891_terseLabel_en-US" xlink:label="lab_us-gaap_LeaseCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total lease cost</link:label>
    <link:label id="lab_us-gaap_LeaseCost_label_en-US" xlink:label="lab_us-gaap_LeaseCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease, Cost</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LeaseCost" xlink:to="lab_us-gaap_LeaseCost" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CollateralAlreadyPostedAggregateFairValue_c8e128cf-b15e-4a85-b35e-adf7b0625c39_terseLabel_en-US" xlink:label="lab_us-gaap_CollateralAlreadyPostedAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value of collateral already posted</link:label>
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    <link:label id="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_e69fa3b2-9f80-4d09-8605-a9c1c8bf6c75_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other, net</link:label>
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    <link:label id="lab_cnp_HoustonElectricMember_997cb7c4-35c8-4626-9f9e-d7dc3797bdda_verboseLabel_en-US" xlink:label="lab_cnp_HoustonElectricMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy Houston Electric, LLC</link:label>
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    <link:label id="lab_cnp_CurrentLiabilitiesMember_label_en-US" xlink:label="lab_cnp_CurrentLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current Liabilities [Member]</link:label>
    <link:label id="lab_cnp_CurrentLiabilitiesMember_documentation_en-US" xlink:label="lab_cnp_CurrentLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Line item in the statement of financial position in which the fair value amounts of the derivative instruments are included.</link:label>
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    <link:label id="lab_us-gaap_AllowanceForFundsUsedDuringConstructionPolicy_f8fc14e4-d79d-4602-a961-433ef6e34ab2_verboseLabel_en-US" xlink:label="lab_us-gaap_AllowanceForFundsUsedDuringConstructionPolicy" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capitalization of Interest and AFUDC</link:label>
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    <link:label id="lab_cnp_WarrantyObligationsOutstandingFaceAmount_label_en-US" xlink:label="lab_cnp_WarrantyObligationsOutstandingFaceAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Warranty obligations outstanding face amount</link:label>
    <link:label id="lab_cnp_WarrantyObligationsOutstandingFaceAmount_documentation_en-US" xlink:label="lab_cnp_WarrantyObligationsOutstandingFaceAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Warranty obligations outstanding face amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WarrantyObligationsOutstandingFaceAmount" xlink:href="cnp-20201231.xsd#cnp_WarrantyObligationsOutstandingFaceAmount"/>
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    <link:label id="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_documentation_en-US" xlink:label="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Face amount of individual surety bonds the wholly-owned subsidiary has outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Performanceguaranteeobligationsoutstandingfaceamount" xlink:href="cnp-20201231.xsd#cnp_Performanceguaranteeobligationsoutstandingfaceamount"/>
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    <link:label id="lab_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_48f02eef-cace-4cad-b47f-c2f8cccf6357_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue from contracts</link:label>
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    <link:label id="lab_us-gaap_SharePrice_c64cc947-4cb2-4db4-b1ed-a70c56a622a5_terseLabel_en-US" xlink:label="lab_us-gaap_SharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share Price</link:label>
    <link:label id="lab_us-gaap_SharePrice_label_en-US" xlink:label="lab_us-gaap_SharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharePrice" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharePrice" xlink:to="lab_us-gaap_SharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryLiabilityDomain_2e8d9bdf-1639-4262-9d56-50cb7fe5fe38_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Liability [Domain]</link:label>
    <link:label id="lab_us-gaap_RegulatoryLiabilityDomain_label_en-US" xlink:label="lab_us-gaap_RegulatoryLiabilityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Liability [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryLiabilityDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryLiabilityDomain"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis"/>
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    <link:loc xlink:type="locator" xlink:label="loc_cnp_CommonUnitsMember" xlink:href="cnp-20201231.xsd#cnp_CommonUnitsMember"/>
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    <link:label id="lab_cnp_DebtComponentOfZENSMember_b0a5d5e0-ec09-4a6a-961d-f2f1a25f882b_terseLabel_en-US" xlink:label="lab_cnp_DebtComponentOfZENSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Component Of ZENS [Member]</link:label>
    <link:label id="lab_cnp_DebtComponentOfZENSMember_label_en-US" xlink:label="lab_cnp_DebtComponentOfZENSMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Component Of ZENS [Member]</link:label>
    <link:label id="lab_cnp_DebtComponentOfZENSMember_documentation_en-US" xlink:label="lab_cnp_DebtComponentOfZENSMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the bifurcated fixed rate debt component of the ZENS obligation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DebtComponentOfZENSMember" xlink:href="cnp-20201231.xsd#cnp_DebtComponentOfZENSMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DebtComponentOfZENSMember" xlink:to="lab_cnp_DebtComponentOfZENSMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FixedIncomeFundsMember_2bd73e4d-26d5-4b7e-8bd9-6230358ad84b_terseLabel_en-US" xlink:label="lab_us-gaap_FixedIncomeFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fixed Income Funds [Member]</link:label>
    <link:label id="lab_us-gaap_FixedIncomeFundsMember_label_en-US" xlink:label="lab_us-gaap_FixedIncomeFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fixed Income Funds [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FixedIncomeFundsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FixedIncomeFundsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FixedIncomeFundsMember" xlink:to="lab_us-gaap_FixedIncomeFundsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract_a1eef4c9-1141-4669-96a6-e42e4822bf32_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Numerator:</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share, Basic and Diluted [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareBasicAndDilutedAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:to="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities_5a40ccbb-8afd-4b37-8137-20e9b6c459b4_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory liabilities</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestPayableCurrent_0e724ecb-2319-487c-8ea1-5bb082393a67_terseLabel_en-US" xlink:label="lab_us-gaap_InterestPayableCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest accrued</link:label>
    <link:label id="lab_us-gaap_InterestPayableCurrent_label_en-US" xlink:label="lab_us-gaap_InterestPayableCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Payable, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPayableCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestPayableCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestPayableCurrent" xlink:to="lab_us-gaap_InterestPayableCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityVoluntaryFilers_e2242e8b-f30d-4442-aedc-2a729a17844f_terseLabel_en-US" xlink:label="lab_dei_EntityVoluntaryFilers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Voluntary Filers</link:label>
    <link:label id="lab_dei_EntityVoluntaryFilers_label_en-US" xlink:label="lab_dei_EntityVoluntaryFilers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Voluntary Filers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityVoluntaryFilers" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityVoluntaryFilers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityVoluntaryFilers" xlink:to="lab_dei_EntityVoluntaryFilers" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccountsReceivableforContractswithCustomers_1ff76518-6a42-48e6-8618-f41ec6c298f0_periodStartLabel_en-US" xlink:label="lab_cnp_AccountsReceivableforContractswithCustomers" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Opening balance as of December 31, 2019</link:label>
    <link:label id="lab_cnp_AccountsReceivableforContractswithCustomers_48fa1fe0-cedd-444a-ac90-f1d171075a59_periodEndLabel_en-US" xlink:label="lab_cnp_AccountsReceivableforContractswithCustomers" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Closing balance as of December 31, 2020</link:label>
    <link:label id="lab_cnp_AccountsReceivableforContractswithCustomers_label_en-US" xlink:label="lab_cnp_AccountsReceivableforContractswithCustomers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts Receivable for Contracts with Customers</link:label>
    <link:label id="lab_cnp_AccountsReceivableforContractswithCustomers_documentation_en-US" xlink:label="lab_cnp_AccountsReceivableforContractswithCustomers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts Receivable for Contracts with Customers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AccountsReceivableforContractswithCustomers" xlink:href="cnp-20201231.xsd#cnp_AccountsReceivableforContractswithCustomers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccountsReceivableforContractswithCustomers" xlink:to="lab_cnp_AccountsReceivableforContractswithCustomers" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardAxis_040d6246-c68a-4915-af61-acb27ebda1d0_terseLabel_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Credit Carryforward [Axis]</link:label>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardAxis_label_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Credit Carryforward [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxCreditCarryforwardAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxCreditCarryforwardAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxCreditCarryforwardAxis" xlink:to="lab_us-gaap_TaxCreditCarryforwardAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems_da6816d0-7f46-4fb1-9eef-24f54ce736fc_terseLabel_en-US" xlink:label="lab_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public Utilities, General Disclosures [Line Items]</link:label>
    <link:label id="lab_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems_label_en-US" xlink:label="lab_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public Utilities, General Disclosures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PublicUtilitiesGeneralDisclosuresLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems" xlink:to="lab_us-gaap_PublicUtilitiesGeneralDisclosuresLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure_8b00050e-7551-45fc-a4c7-33b326aaba6c_terseLabel_en-US" xlink:label="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Quarterly increase of fee received for retained CES guarantee exposure</link:label>
    <link:label id="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure_label_en-US" xlink:label="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Quarterly increase of fee received for retained CES guarantee exposure</link:label>
    <link:label id="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure_documentation_en-US" xlink:label="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Quarterly increase of fee received for retained CES guarantee exposure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:href="cnp-20201231.xsd#cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:to="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CreditFacilityAxis_b74550ce-5632-40e8-b4b4-2420b50c2b13_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityAxis_label_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityAxis" xlink:to="lab_us-gaap_CreditFacilityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockSharesIssued_12e27cb1-893b-43bd-96fc-2df5c6cd2219_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Shares Issued</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesIssued_label_en-US" xlink:label="lab_us-gaap_PreferredStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Shares Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesIssued" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockSharesIssued" xlink:to="lab_us-gaap_PreferredStockSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_fdd1acf6-751f-4478-9667-4fc062166aff_terseLabel_en-US" xlink:label="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of shares referenced in exchangeable subordinated note</link:label>
    <link:label id="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_label_en-US" xlink:label="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number Of Shares Referenced In Exchangeable Subordinated Note</link:label>
    <link:label id="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_documentation_en-US" xlink:label="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of shares attributable to each note and referenced in determining the fair value of the cash to be exchange at behest of note holder.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:href="cnp-20201231.xsd#cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:to="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_14ce8fed-b30d-48f9-be4a-4cb4b39e9661_terseLabel_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total lease payments to be received</link:label>
    <link:label id="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived_label_en-US" xlink:label="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessor, Operating Lease, Payments to be Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LessorOperatingLeasePaymentsToBeReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:to="lab_us-gaap_LessorOperatingLeasePaymentsToBeReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLiabilitiesNoncurrent_864969a4-73c6-4871-bbdb-48396d60ac00_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilitiesNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-trading derivative liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilitiesNoncurrent_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilitiesNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeLiabilitiesNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilitiesNoncurrent" xlink:to="lab_us-gaap_DerivativeLiabilitiesNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_01df2ce5-55ec-4c46-8765-1d5d95321622_terseLabel_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_label_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_documentation_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:href="cnp-20201231.xsd#cnp_AccumulatedOtherComprehensiveIncomeLossRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:to="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_43275f80-b993-4fe2-937c-57e73a1a2132_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease Liabilities, Payments Due [Abstract]</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Operating Lease, Liability, Payment, Due [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract" xlink:to="lab_us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SIGECOMember_81452339-2ece-45eb-8049-ce4540865356_terseLabel_en-US" xlink:label="lab_cnp_SIGECOMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">SIGECO [Member]</link:label>
    <link:label id="lab_cnp_SIGECOMember_label_en-US" xlink:label="lab_cnp_SIGECOMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">SIGECO [Member]</link:label>
    <link:label id="lab_cnp_SIGECOMember_documentation_en-US" xlink:label="lab_cnp_SIGECOMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">SIGECO [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SIGECOMember" xlink:href="cnp-20201231.xsd#cnp_SIGECOMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SIGECOMember" xlink:to="lab_cnp_SIGECOMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_dbcd2a70-973a-41ce-a215-3a7be57e9f03_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Stockholders' Equity [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Stockholders' Equity [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInStockholdersEquityRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward" xlink:to="lab_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_GasTransportationandProcessingMember_8d1352a1-1ece-4485-a038-4d2a0f790b22_terseLabel_en-US" xlink:label="lab_cnp_GasTransportationandProcessingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gas Transportation and Processing [Member]</link:label>
    <link:label id="lab_cnp_GasTransportationandProcessingMember_label_en-US" xlink:label="lab_cnp_GasTransportationandProcessingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gas Transportation and Processing [Member]</link:label>
    <link:label id="lab_cnp_GasTransportationandProcessingMember_documentation_en-US" xlink:label="lab_cnp_GasTransportationandProcessingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents revenues from gas transportation and processing</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_GasTransportationandProcessingMember" xlink:href="cnp-20201231.xsd#cnp_GasTransportationandProcessingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_GasTransportationandProcessingMember" xlink:to="lab_cnp_GasTransportationandProcessingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock_732ac3c2-7ccf-4d11-8798-55f81e732947_terseLabel_en-US" xlink:label="lab_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public Utilities General Disclosures [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock_label_en-US" xlink:label="lab_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Public Utilities General Disclosures [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock" xlink:to="lab_us-gaap_PublicUtilitiesGeneralDisclosuresTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance_856b981f-02e3-437b-afa6-104bf16a4cb3_terseLabel_en-US" xlink:label="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit obligations related to split-dollar life insurance arrangements</link:label>
    <link:label id="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance_label_en-US" xlink:label="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension And Other Postretirement Defined Benefit Plans Liabilities Noncurrent Split Dollar Life Insurance</link:label>
    <link:label id="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance_documentation_en-US" xlink:label="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This represents the noncurrent liability related to split-dollar life insurance arrangements within other non-qualified plans.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:href="cnp-20201231.xsd#cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:to="lab_cnp_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrentSplitDollarLifeInsurance" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LeaseRightOfUseAsset_98d2a19d-853c-46fc-a3ea-1d4f8ae3c0a6_terseLabel_en-US" xlink:label="lab_cnp_LeaseRightOfUseAsset" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total leased assets</link:label>
    <link:label id="lab_cnp_LeaseRightOfUseAsset_label_en-US" xlink:label="lab_cnp_LeaseRightOfUseAsset" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease Right-Of-Use Asset</link:label>
    <link:label id="lab_cnp_LeaseRightOfUseAsset_documentation_en-US" xlink:label="lab_cnp_LeaseRightOfUseAsset" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total Leased Right-Of-Use-Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LeaseRightOfUseAsset" xlink:href="cnp-20201231.xsd#cnp_LeaseRightOfUseAsset"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_LeaseRightOfUseAsset" xlink:to="lab_cnp_LeaseRightOfUseAsset" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays_f619a9fa-b881-4335-8dee-58fa36766a36_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock threshold consecutive calendar days</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays_label_en-US" xlink:label="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Threshold Consecutive Calendar Days</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays_documentation_en-US" xlink:label="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Threshold period of consecutive calendar days for fundamental change conversion.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:href="cnp-20201231.xsd#cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:to="lab_cnp_PreferredStockConvertibleThresholdConsecutiveCalendarDays" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ATTCommonMember_fb8f070c-1af6-44e1-a113-2ef0147296c8_terseLabel_en-US" xlink:label="lab_cnp_ATTCommonMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">AT&amp;T Common [Member]</link:label>
    <link:label id="lab_cnp_ATTCommonMember_label_en-US" xlink:label="lab_cnp_ATTCommonMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">AT&amp;T Common [Member]</link:label>
    <link:label id="lab_cnp_ATTCommonMember_documentation_en-US" xlink:label="lab_cnp_ATTCommonMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common stock of AT&amp;T Inc.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ATTCommonMember" xlink:href="cnp-20201231.xsd#cnp_ATTCommonMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ATTCommonMember" xlink:to="lab_cnp_ATTCommonMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PostemploymentBenefitsLiabilityNoncurrent_d0b8c6e1-8cff-42fc-9ed5-d5f449ceafc8_terseLabel_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment benefit obligations</link:label>
    <link:label id="lab_us-gaap_PostemploymentBenefitsLiabilityNoncurrent_label_en-US" xlink:label="lab_us-gaap_PostemploymentBenefitsLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Postemployment Benefits Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PostemploymentBenefitsLiabilityNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PostemploymentBenefitsLiabilityNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PostemploymentBenefitsLiabilityNoncurrent" xlink:to="lab_us-gaap_PostemploymentBenefitsLiabilityNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_ca715f8a-17fe-4ec7-9a04-a1245041049b_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from issuance of Common Stock, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_1c67c47e-3028-420d-8098-6c021c87e77e_verboseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from issuance of common stock</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Issuance of Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock_bae4513b-7f85-4ca5-a0ab-0779863e1d85_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Lease Income [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Lease Income [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLeaseIncomeTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock" xlink:to="lab_us-gaap_OperatingLeaseLeaseIncomeTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract_242ca918-080a-4948-bd9d-81d69fa1ac5b_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment, Net, by Type [Abstract]</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment, Net, by Type [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentNetByTypeAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_f5d44d06-8332-42ba-bdea-646bf3d499b3_verboseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basic and Diluted Earnings Per Share [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LongtermDebtGrossCurrent_3a4ff740-006c-47d4-8ca7-8653e8428c9a_terseLabel_en-US" xlink:label="lab_cnp_LongtermDebtGrossCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current</link:label>
    <link:label id="lab_cnp_LongtermDebtGrossCurrent_label_en-US" xlink:label="lab_cnp_LongtermDebtGrossCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Gross, Current</link:label>
    <link:label id="lab_cnp_LongtermDebtGrossCurrent_documentation_en-US" xlink:label="lab_cnp_LongtermDebtGrossCurrent" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of long-term debt scheduled to be repaid within one year or the normal operating cycle, if longer. Includes, but not limited to, notes payable, bonds payable, debentures, mortgage loans and commercial paper. Excludes capital lease obligations.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LongtermDebtGrossCurrent" xlink:href="cnp-20201231.xsd#cnp_LongtermDebtGrossCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_LongtermDebtGrossCurrent" xlink:to="lab_cnp_LongtermDebtGrossCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CERCSeniorNotes450Due2021Member_0ce0d442-186a-4987-9598-e6a389a424df_terseLabel_en-US" xlink:label="lab_cnp_CERCSeniorNotes450Due2021Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CERC Senior notes 4.50% due 2021 [Member]</link:label>
    <link:label id="lab_cnp_CERCSeniorNotes450Due2021Member_label_en-US" xlink:label="lab_cnp_CERCSeniorNotes450Due2021Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CERC Senior notes 4.50% due 2021 [Member]</link:label>
    <link:label id="lab_cnp_CERCSeniorNotes450Due2021Member_documentation_en-US" xlink:label="lab_cnp_CERCSeniorNotes450Due2021Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CERC Senior notes 4.50% due 2021</link:label>
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    <link:label id="lab_us-gaap_StatementOfCashFlowsAbstract_9576c663-2e78-4072-9044-e7398a454c19_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_ba97c57b-1bf9-4dd8-8698-8e9b412aa6c2_verboseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax Expense [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_PreferredStockLiquidationPreference_ea728df8-32ad-4eca-b316-9a7484b95736_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockLiquidationPreference" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock liquidation preference (per share)</link:label>
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    <link:label id="lab_us-gaap_EnvironmentalRemediationSiteAxis_10e388e9-7dd2-4e99-831e-c210f8dd6121_terseLabel_en-US" xlink:label="lab_us-gaap_EnvironmentalRemediationSiteAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Environmental Remediation Site [Axis]</link:label>
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    <link:label id="lab_cnp_HurricaneLauraMember_d6aaab15-7eae-4a3b-bda8-42a0a84ecae3_terseLabel_en-US" xlink:label="lab_cnp_HurricaneLauraMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hurricane Laura</link:label>
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    <link:label id="lab_cnp_HurricaneLauraMember_documentation_en-US" xlink:label="lab_cnp_HurricaneLauraMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restoration costs related to Hurricane Laura</link:label>
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    <link:label id="lab_us-gaap_InvestmentTypeAxis_c3677901-fab8-4807-9410-26b29e529cde_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment Type [Axis]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InvestmentTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_21d31986-51a5-4535-a312-9cc8429711ec_terseLabel_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation And Maintenance Expense [Member]</link:label>
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_label_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operation And Maintenance Expense Member</link:label>
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_documentation_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of share-based compensation cost reported in the period, allocated to operations and maintenance expense. Operations and maintenance expense are the costs associated with normal operations, including general and administrative expenses, and routine plant maintenance and repairs.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OperationAndMaintenanceExpenseMember" xlink:href="cnp-20201231.xsd#cnp_OperationAndMaintenanceExpenseMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OperationAndMaintenanceExpenseMember" xlink:to="lab_cnp_OperationAndMaintenanceExpenseMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_0ad49cf0-7704-4a65-990e-a3ada7e38fa1_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Weighted average period of recognition (in years)</link:label>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_label_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:to="lab_us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SupplementalCashFlowElementsAbstract_19d931ec-a7f1-47ee-9d5a-eaf6d3ae4fd7_terseLabel_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Supplemental Cash Flow Elements [Abstract]</link:label>
    <link:label id="lab_us-gaap_SupplementalCashFlowElementsAbstract_label_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Supplemental Cash Flow Elements [Abstract]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowElementsAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowElementsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_92ea9051-7ad7-4335-a40a-9798b97f0efb_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2022</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-Term Debt, Maturity, Year Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetRetirementObligationCostsMember_f9433aac-37f4-4fe7-8f24-baebc6c90cdd_terseLabel_en-US" xlink:label="lab_us-gaap_AssetRetirementObligationCostsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Retirement Obligation Costs [Member]</link:label>
    <link:label id="lab_us-gaap_AssetRetirementObligationCostsMember_label_en-US" xlink:label="lab_us-gaap_AssetRetirementObligationCostsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Retirement Obligation Costs [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetRetirementObligationCostsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetRetirementObligationCostsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetRetirementObligationCostsMember" xlink:to="lab_us-gaap_AssetRetirementObligationCostsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NewYorkStockExchangeMember_9a885fd1-7336-445e-aaee-23be3e03e9ab_terseLabel_en-US" xlink:label="lab_cnp_NewYorkStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">New York Stock Exchange</link:label>
    <link:label id="lab_cnp_NewYorkStockExchangeMember_label_en-US" xlink:label="lab_cnp_NewYorkStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">New York Stock Exchange [Member]</link:label>
    <link:label id="lab_cnp_NewYorkStockExchangeMember_documentation_en-US" xlink:label="lab_cnp_NewYorkStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">New York Stock Exchange [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NewYorkStockExchangeMember" xlink:href="cnp-20201231.xsd#cnp_NewYorkStockExchangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NewYorkStockExchangeMember" xlink:to="lab_cnp_NewYorkStockExchangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SinkingFundRequirements_b5982fcc-03c4-4dbd-a32b-d09c3867502e_verboseLabel_en-US" xlink:label="lab_cnp_SinkingFundRequirements" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sinking fund requirements to be satisfied in 2018</link:label>
    <link:label id="lab_cnp_SinkingFundRequirements_label_en-US" xlink:label="lab_cnp_SinkingFundRequirements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Sinking Fund Requirements</link:label>
    <link:label id="lab_cnp_SinkingFundRequirements_documentation_en-US" xlink:label="lab_cnp_SinkingFundRequirements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount to be paid in following year into the sinking fund. Such amount may be satisfied by certification of property additions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SinkingFundRequirements" xlink:href="cnp-20201231.xsd#cnp_SinkingFundRequirements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SinkingFundRequirements" xlink:to="lab_cnp_SinkingFundRequirements" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized_d97c1f44-9908-4e66-88dc-2684600fd2a2_terseLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract with Customer, Liability, Revenue Recognized</link:label>
    <link:label id="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized_label_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract with Customer, Liability, Revenue Recognized</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityRevenueRecognized" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContractWithCustomerLiabilityRevenueRecognized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContractWithCustomerLiabilityRevenueRecognized" xlink:to="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_a9022dec-0b18-4727-aedf-f23f57e149dc_totalLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (Loss) Available to Common Shareholders</link:label>
    <link:label id="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_d1ac2c60-43c2-481b-ae11-47804185e659_verboseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net income (loss) attributable to Enable common units</link:label>
    <link:label id="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_46207105-165e-406f-a59f-b2a5faa71e63_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (loss) available to common shareholders from continuing operations - basic and diluted</link:label>
    <link:label id="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_label_en-US" xlink:label="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net Income (Loss) Available to Common Stockholders, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:to="lab_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther_60764c9f-844c-4e8b-b677-9bf19003511e_verboseLabel_en-US" xlink:label="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other</link:label>
    <link:label id="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther_label_en-US" xlink:label="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Tax Liabilities Noncurrent Other</link:label>
    <link:label id="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther_documentation_en-US" xlink:label="lab_cnp_DeferredTaxLiabilitiesNoncurrentOther" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The cumulative amount of the estimated future tax effects attributable to other temporary differences not otherwise specified in this taxonomy that are expected to reverse more than 12 months after the balance sheet date.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DeferredTaxLiabilitiesNoncurrentOther" xlink:href="cnp-20201231.xsd#cnp_DeferredTaxLiabilitiesNoncurrentOther"/>
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    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_c7fb448a-512c-4139-b2a2-94f019d13e49_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value Assets And Liabilities Measured On Recurring Basis [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsPayable_f199882c-69b6-4e85-a208-f00ee0105562_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsPayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Accounts Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember_c3e33787-d23b-4b2b-9f8f-7a46b499c607_terseLabel_en-US" xlink:label="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Employees Subject To Collective Bargaining Agreements [Member]</link:label>
    <link:label id="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember_label_en-US" xlink:label="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Employees Subject To Collective Bargaining Agreements [Member]</link:label>
    <link:label id="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember_documentation_en-US" xlink:label="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the employees subject to collective bargaining agreements.</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember" xlink:to="lab_cnp_EmployeesSubjectToCollectiveBargainingAgreementsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare_cdc24d5a-dcca-4a3e-8abe-55885a060994_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basic earnings (loss) per common share - discontinued operations</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Income (Loss) from Discontinued Operation, Net of Tax, Per Basic Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare" xlink:to="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_StockAwardsMember_859773da-4be1-41c5-a56a-803a470afc65_terseLabel_en-US" xlink:label="lab_cnp_StockAwardsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock Awards [Member]</link:label>
    <link:label id="lab_cnp_StockAwardsMember_label_en-US" xlink:label="lab_cnp_StockAwardsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock Awards Member</link:label>
    <link:label id="lab_cnp_StockAwardsMember_documentation_en-US" xlink:label="lab_cnp_StockAwardsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock awards within the entity's long-term stock incentive plan.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_StockAwardsMember" xlink:href="cnp-20201231.xsd#cnp_StockAwardsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_StockAwardsMember" xlink:to="lab_cnp_StockAwardsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DepreciationandamortizationexpenseMember_9f19ff89-6f83-4d36-a5ff-e057e1a994d2_terseLabel_en-US" xlink:label="lab_cnp_DepreciationandamortizationexpenseMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and amortization expense [Member]</link:label>
    <link:label id="lab_cnp_DepreciationandamortizationexpenseMember_label_en-US" xlink:label="lab_cnp_DepreciationandamortizationexpenseMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and amortization expense [Member]</link:label>
    <link:label id="lab_cnp_DepreciationandamortizationexpenseMember_documentation_en-US" xlink:label="lab_cnp_DepreciationandamortizationexpenseMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and amortization expense [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DepreciationandamortizationexpenseMember" xlink:href="cnp-20201231.xsd#cnp_DepreciationandamortizationexpenseMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DepreciationandamortizationexpenseMember" xlink:to="lab_cnp_DepreciationandamortizationexpenseMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LesseeOperatingLeaseNotYetCommenced_04e5da58-f8a4-4cf2-bf45-659433dae5dd_terseLabel_en-US" xlink:label="lab_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee Operating Lease Not Yet Commenced</link:label>
    <link:label id="lab_cnp_LesseeOperatingLeaseNotYetCommenced_label_en-US" xlink:label="lab_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee Operating Lease Not Yet Commenced</link:label>
    <link:label id="lab_cnp_LesseeOperatingLeaseNotYetCommenced_documentation_en-US" xlink:label="lab_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Undiscounted minimum lease payments for operating leases signed but not yet commenced</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:href="cnp-20201231.xsd#cnp_LesseeOperatingLeaseNotYetCommenced"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:to="lab_cnp_LesseeOperatingLeaseNotYetCommenced" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_ecfe5482-4546-4fcd-83bf-f14d281c42cc_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentAxis" xlink:to="lab_us-gaap_DebtInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_BenefitObligationMember_3a29bc34-691c-45a4-9b9f-5ecb9f5af96e_terseLabel_en-US" xlink:label="lab_cnp_BenefitObligationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit Obligation [Member]</link:label>
    <link:label id="lab_cnp_BenefitObligationMember_label_en-US" xlink:label="lab_cnp_BenefitObligationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefit Obligation [Member]</link:label>
    <link:label id="lab_cnp_BenefitObligationMember_documentation_en-US" xlink:label="lab_cnp_BenefitObligationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the benefit obligation on the balance sheet.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_BenefitObligationMember" xlink:href="cnp-20201231.xsd#cnp_BenefitObligationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_BenefitObligationMember" xlink:to="lab_cnp_BenefitObligationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CenterpointEnergyMember_e29d817a-b447-40f8-b7ea-b828351dfa3e_terseLabel_en-US" xlink:label="lab_cnp_CenterpointEnergyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy [Member]</link:label>
    <link:label id="lab_cnp_CenterpointEnergyMember_label_en-US" xlink:label="lab_cnp_CenterpointEnergyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">CenterPoint Energy [Member]</link:label>
    <link:label id="lab_cnp_CenterpointEnergyMember_documentation_en-US" xlink:label="lab_cnp_CenterpointEnergyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Another company which is controlled, directly or indirectly, by its parent. The usual condition for control is ownership of a majority (over 50%) of the outstanding voting stock. The power to control may also exist with a lesser percentage of ownership, for example, by contract, lease, agreement with other stockholders or by court decree.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CenterpointEnergyMember" xlink:href="cnp-20201231.xsd#cnp_CenterpointEnergyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CenterpointEnergyMember" xlink:to="lab_cnp_CenterpointEnergyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ChangeinContractAssetRollForward_bd46cb2a-8ab3-42c0-b14a-2d7e97cba69d_terseLabel_en-US" xlink:label="lab_cnp_ChangeinContractAssetRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Asset [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinContractAssetRollForward_label_en-US" xlink:label="lab_cnp_ChangeinContractAssetRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Asset [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinContractAssetRollForward_documentation_en-US" xlink:label="lab_cnp_ChangeinContractAssetRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Contract Asset [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ChangeinContractAssetRollForward" xlink:href="cnp-20201231.xsd#cnp_ChangeinContractAssetRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ChangeinContractAssetRollForward" xlink:to="lab_cnp_ChangeinContractAssetRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock_232fd0e5-8bda-43f6-9fd6-68a008a5ec9a_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Business Acquisitions, by Acquisition [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Business Acquisitions, by Acquisition [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock" xlink:to="lab_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_b4d044e1-4fc9-47df-aa19-230e68656fcb_terseLabel_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Partner Type [Axis]</link:label>
    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_label_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Partner Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PartnerTypeOfPartnersCapitalAccountAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:to="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SecondQuarter2020Member_f56523b0-c29d-4273-a219-03b52de22a74_terseLabel_en-US" xlink:label="lab_cnp_SecondQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Second Quarter 2020 [Member]</link:label>
    <link:label id="lab_cnp_SecondQuarter2020Member_label_en-US" xlink:label="lab_cnp_SecondQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Second Quarter 2020 [Member]</link:label>
    <link:label id="lab_cnp_SecondQuarter2020Member_documentation_en-US" xlink:label="lab_cnp_SecondQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Second Quarter 2020 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SecondQuarter2020Member" xlink:href="cnp-20201231.xsd#cnp_SecondQuarter2020Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SecondQuarter2020Member" xlink:to="lab_cnp_SecondQuarter2020Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingSegmentsMember_564040a9-b3f6-4b85-9e0a-5beb6eb9c215_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingSegmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Segments [Member]</link:label>
    <link:label id="lab_us-gaap_OperatingSegmentsMember_label_en-US" xlink:label="lab_us-gaap_OperatingSegmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Segments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingSegmentsMember" xlink:to="lab_us-gaap_OperatingSegmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisaggregationOfRevenueLineItems_fabf435f-4e00-4193-8ba8-57fe0583e209_terseLabel_en-US" xlink:label="lab_us-gaap_DisaggregationOfRevenueLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disaggregation of Revenue [Line Items]</link:label>
    <link:label id="lab_us-gaap_DisaggregationOfRevenueLineItems_label_en-US" xlink:label="lab_us-gaap_DisaggregationOfRevenueLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disaggregation of Revenue [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisaggregationOfRevenueLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisaggregationOfRevenueLineItems" xlink:to="lab_us-gaap_DisaggregationOfRevenueLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax_90f817bf-4aed-4cb2-8d76-bc6a3d192647_negatedLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reclassified to earnings</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, Net of Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax" xlink:to="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesNetOfTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnamortizedLossReacquiredDebtNoncurrent_efbd7104-5368-4523-a2b2-1575a8a3e601_terseLabel_en-US" xlink:label="lab_us-gaap_UnamortizedLossReacquiredDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unamortized loss on reacquired debt (3)</link:label>
    <link:label id="lab_us-gaap_UnamortizedLossReacquiredDebtNoncurrent_label_en-US" xlink:label="lab_us-gaap_UnamortizedLossReacquiredDebtNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unamortized Loss Reacquired Debt, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnamortizedLossReacquiredDebtNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnamortizedLossReacquiredDebtNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnamortizedLossReacquiredDebtNoncurrent" xlink:to="lab_us-gaap_UnamortizedLossReacquiredDebtNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLiabilities_8b2dc84a-7e0f-42b8-924e-3b1bcf3cd5f0_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Liability</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilities_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilities" xlink:to="lab_us-gaap_DerivativeLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnbilledContractsReceivable_46af5ee6-443b-4456-aab6-b09aeb6697e5_periodStartLabel_en-US" xlink:label="lab_us-gaap_UnbilledContractsReceivable" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Opening balance as of December 31, 2019</link:label>
    <link:label id="lab_us-gaap_UnbilledContractsReceivable_8da1c168-7e0c-446c-9c30-c58296a74576_periodEndLabel_en-US" xlink:label="lab_us-gaap_UnbilledContractsReceivable" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Closing balance as of December 31, 2020</link:label>
    <link:label id="lab_us-gaap_UnbilledContractsReceivable_label_en-US" xlink:label="lab_us-gaap_UnbilledContractsReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unbilled Contracts Receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnbilledContractsReceivable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnbilledContractsReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnbilledContractsReceivable" xlink:to="lab_us-gaap_UnbilledContractsReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_d28ce715-8223-46f6-9436-299dc0d42076_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Adjustments to reconcile net income to net cash provided by operating activities:</link:label>
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    <link:label id="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtCurrent_documentation_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term transition and system restoration bonds are securitization bonds issued to recover qualified stranded costs and qualified storm recovery costs. This represents the current portion.</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TransitionAndSystemRestorationBondsLongTermDebtCurrent" xlink:to="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock_e4dffb55-9a87-488b-8c4d-2adab6a6a92a_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from the issuance of Series B Preferred Stock, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Issuance of Convertible Preferred Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfConvertiblePreferredStock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_aa5a6846-10da-44d8-a991-ba856129e633_verboseLabel_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenues</link:label>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueRecognitionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:to="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AffiliatesOfNrgEnergyIncMember_a0ebc0d7-bf36-40dd-863c-c2de51b2062a_terseLabel_en-US" xlink:label="lab_cnp_AffiliatesOfNrgEnergyIncMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Affiliates of NRG Energy, Inc. [Member]</link:label>
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    <link:label id="lab_cnp_AffiliatesOfNrgEnergyIncMember_documentation_en-US" xlink:label="lab_cnp_AffiliatesOfNrgEnergyIncMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Affiliates of NRG Energy, Inc. [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AffiliatesOfNrgEnergyIncMember" xlink:href="cnp-20201231.xsd#cnp_AffiliatesOfNrgEnergyIncMember"/>
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    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_a7528a7d-e916-41d8-87e0-61e7f8b84f91_terseLabel_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair value [Member]</link:label>
    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Estimate of Fair Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:to="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConversionOfStockAmountIssued1_2337ba3f-402e-4ba0-af58-6ca7cf74e829_terseLabel_en-US" xlink:label="lab_us-gaap_ConversionOfStockAmountIssued1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Conversion of Stock, Amount Issued</link:label>
    <link:label id="lab_us-gaap_ConversionOfStockAmountIssued1_label_en-US" xlink:label="lab_us-gaap_ConversionOfStockAmountIssued1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Conversion of Stock, Amount Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConversionOfStockAmountIssued1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConversionOfStockAmountIssued1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConversionOfStockAmountIssued1" xlink:to="lab_us-gaap_ConversionOfStockAmountIssued1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilityNoncurrent_da47181a-5156-41f2-a572-52c61cd2dad3_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-current operating lease liability (3)</link:label>
    <link:label id="lab_us-gaap_OperatingLeaseLiabilityNoncurrent_label_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:to="lab_us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_9a115ffb-0f3a-45b8-a4ff-5ad3d8294056_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2024</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Lived Intangible Asset, Expected Amortization, Year Four</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreferredStockSharesToBeConvertedToCommon_c4c5f14b-21a7-4e82-8f5d-7a16a76f672d_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">PreferredStockSharesToBeConvertedToCommon</link:label>
    <link:label id="lab_cnp_PreferredStockSharesToBeConvertedToCommon_label_en-US" xlink:label="lab_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">PreferredStockSharesToBeConvertedToCommon</link:label>
    <link:label id="lab_cnp_PreferredStockSharesToBeConvertedToCommon_documentation_en-US" xlink:label="lab_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">PreferredStockSharesToBeConvertedToCommon</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:href="cnp-20201231.xsd#cnp_PreferredStockSharesToBeConvertedToCommon"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:to="lab_cnp_PreferredStockSharesToBeConvertedToCommon" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember_d1c1e5d3-a322-4f81-9ab5-3757c829272b_terseLabel_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring June 2022, Additional</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember_label_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring June 2022, Additional [Member]</link:label>
    <link:label id="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember_documentation_en-US" xlink:label="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring June 2022, Additional</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:href="cnp-20201231.xsd#cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:to="lab_cnp_WorkforceSubjectToCollectiveBargainingArrangementsExpiringJune2022AdditionalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_TechnologyHardwareAndSoftwareMember_e897099c-9e91-4d2d-8630-d89b4fb62bdb_terseLabel_en-US" xlink:label="lab_cnp_TechnologyHardwareAndSoftwareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Technology Hardware and Software</link:label>
    <link:label id="lab_cnp_TechnologyHardwareAndSoftwareMember_label_en-US" xlink:label="lab_cnp_TechnologyHardwareAndSoftwareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Technology Hardware and Software [Member]</link:label>
    <link:label id="lab_cnp_TechnologyHardwareAndSoftwareMember_documentation_en-US" xlink:label="lab_cnp_TechnologyHardwareAndSoftwareMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Technology Hardware and Software</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_TechnologyHardwareAndSoftwareMember" xlink:href="cnp-20201231.xsd#cnp_TechnologyHardwareAndSoftwareMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TechnologyHardwareAndSoftwareMember" xlink:to="lab_cnp_TechnologyHardwareAndSoftwareMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock_e57f1594-e8aa-41f1-8fe9-12ecfa7a6613_verboseLabel_en-US" xlink:label="lab_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation and Amortization Expense</link:label>
    <link:label id="lab_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depreciation, Depletion, and Amortization [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock" xlink:to="lab_us-gaap_DepreciationDepletionAndAmortizationPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardLineItems_ae5103f8-cc22-4fd7-bc17-7c143df96612_terseLabel_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Tax Carryforward [Line Items]</link:label>
    <link:label id="lab_us-gaap_TaxCreditCarryforwardLineItems_label_en-US" xlink:label="lab_us-gaap_TaxCreditCarryforwardLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Tax Credit Carryforward [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxCreditCarryforwardLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TaxCreditCarryforwardLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxCreditCarryforwardLineItems" xlink:to="lab_us-gaap_TaxCreditCarryforwardLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsCurrentAbstract_ed8e7559-6fc7-4821-b17c-e0b4671a122b_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsCurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current Assets:</link:label>
    <link:label id="lab_us-gaap_AssetsCurrentAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsCurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assets, Current [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrentAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsCurrentAbstract" xlink:to="lab_us-gaap_AssetsCurrentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SeriesBMember_0b62d973-74b9-4c76-9840-bbb8e5d34647_terseLabel_en-US" xlink:label="lab_us-gaap_SeriesBMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Series B [Member]</link:label>
    <link:label id="lab_us-gaap_SeriesBMember_label_en-US" xlink:label="lab_us-gaap_SeriesBMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Series B [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesBMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeriesBMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SeriesBMember" xlink:to="lab_us-gaap_SeriesBMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdjustmentForAmortization_f73df031-4a1f-405d-a1b2-83426c927f31_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentForAmortization" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other amortization</link:label>
    <link:label id="lab_us-gaap_AdjustmentForAmortization_label_en-US" xlink:label="lab_us-gaap_AdjustmentForAmortization" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentForAmortization" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdjustmentForAmortization"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdjustmentForAmortization" xlink:to="lab_us-gaap_AdjustmentForAmortization" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract_760972ed-4508-4c3e-9b39-fd3906388523_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash Flows from Investing Activities:</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperationsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsFairValueDisclosure_e500d9ce-cd02-491e-b149-8b3e9f90cc49_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investments, including money market funds (1)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InvestmentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DepositaryShareMember_1a7f1151-9e5f-4b18-aff3-666d5effb748_terseLabel_en-US" xlink:label="lab_cnp_DepositaryShareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary Share [Member]</link:label>
    <link:label id="lab_cnp_DepositaryShareMember_label_en-US" xlink:label="lab_cnp_DepositaryShareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Depositary Share [Member]</link:label>
    <link:label id="lab_cnp_DepositaryShareMember_documentation_en-US" xlink:label="lab_cnp_DepositaryShareMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Each depositary Share represents 1/20th share of Series B Preferred Stock.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DepositaryShareMember" xlink:href="cnp-20201231.xsd#cnp_DepositaryShareMember"/>
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    <link:label id="lab_cnp_EnergyServicesDisposalGroupMember_0b750776-19a4-48e4-8342-048066cd7488_terseLabel_en-US" xlink:label="lab_cnp_EnergyServicesDisposalGroupMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Services Disposal Group [Member]</link:label>
    <link:label id="lab_cnp_EnergyServicesDisposalGroupMember_label_en-US" xlink:label="lab_cnp_EnergyServicesDisposalGroupMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Services Disposal Group [Member]</link:label>
    <link:label id="lab_cnp_EnergyServicesDisposalGroupMember_documentation_en-US" xlink:label="lab_cnp_EnergyServicesDisposalGroupMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Services Disposal Group</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EnergyServicesDisposalGroupMember" xlink:href="cnp-20201231.xsd#cnp_EnergyServicesDisposalGroupMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EnergyServicesDisposalGroupMember" xlink:to="lab_cnp_EnergyServicesDisposalGroupMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_FinancingCommitments_0d31a2b6-bffe-4ea9-9f9f-b440ccf3c240_terseLabel_en-US" xlink:label="lab_cnp_FinancingCommitments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financing Commitments</link:label>
    <link:label id="lab_cnp_FinancingCommitments_label_en-US" xlink:label="lab_cnp_FinancingCommitments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financing Commitments</link:label>
    <link:label id="lab_cnp_FinancingCommitments_documentation_en-US" xlink:label="lab_cnp_FinancingCommitments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financing Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_FinancingCommitments" xlink:href="cnp-20201231.xsd#cnp_FinancingCommitments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_FinancingCommitments" xlink:to="lab_cnp_FinancingCommitments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ComprehensiveIncomeNetOfTax_451bc35a-e1f1-4605-acec-305e2079a425_totalLabel_en-US" xlink:label="lab_us-gaap_ComprehensiveIncomeNetOfTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Comprehensive income (loss) available to common shareholders</link:label>
    <link:label id="lab_us-gaap_ComprehensiveIncomeNetOfTax_label_en-US" xlink:label="lab_us-gaap_ComprehensiveIncomeNetOfTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Comprehensive Income (Loss), Net of Tax, Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax" xlink:to="lab_us-gaap_ComprehensiveIncomeNetOfTax" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionPrice_0ec5c1f0-7def-4d52-9b66-0f7e51c495d5_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Conversion Price</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionPrice_label_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Convertible, Conversion Price</link:label>
    <link:label id="lab_cnp_PreferredStockConvertibleConversionPrice_documentation_en-US" xlink:label="lab_cnp_PreferredStockConvertibleConversionPrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The price per share of the conversion feature embedded in the preferred stock.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreferredStockConvertibleConversionPrice" xlink:href="cnp-20201231.xsd#cnp_PreferredStockConvertibleConversionPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredStockConvertibleConversionPrice" xlink:to="lab_cnp_PreferredStockConvertibleConversionPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockParOrStatedValuePerShare_4614e155-4946-4793-b476-d9cfbe6cf766_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, $0.01 par value</link:label>
    <link:label id="lab_us-gaap_PreferredStockParOrStatedValuePerShare_5f1e1a0a-dd66-4bf3-b101-46291f7ba275_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock par value (in dollars per share)</link:label>
    <link:label id="lab_us-gaap_PreferredStockParOrStatedValuePerShare_label_en-US" xlink:label="lab_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Par or Stated Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockParOrStatedValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:to="lab_us-gaap_PreferredStockParOrStatedValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember_65dbb4a3-f7db-43aa-8b24-3f5409424fae_terseLabel_en-US" xlink:label="lab_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Not Designated as Hedging Instrument, Economic Hedge [Member]</link:label>
    <link:label id="lab_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember_label_en-US" xlink:label="lab_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Not Designated as Hedging Instrument, Economic Hedge [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember" xlink:to="lab_us-gaap_NotDesignatedAsHedgingInstrumentEconomicHedgeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_1c20b7b3-17d2-4bbb-9ddb-46cb0e4367ec_verboseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reconciliation of Expected Federal Income Tax Expense to Actual [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Effective Income Tax Rate Reconciliation [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_b12cb82a-06bc-4d69-9b36-0be148ae8d22_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2021</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-Term Debt, Maturity, Year One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IndexedDebtCurrent_a25d53aa-f22a-4e85-8c27-f13b2591d60d_terseLabel_en-US" xlink:label="lab_cnp_IndexedDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indexed debt, net</link:label>
    <link:label id="lab_cnp_IndexedDebtCurrent_9cfad684-4a6c-4e20-b380-4c08529d4293_periodStartLabel_en-US" xlink:label="lab_cnp_IndexedDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Component of ZENS</link:label>
    <link:label id="lab_cnp_IndexedDebtCurrent_f3c9e3f9-c77a-4bed-9cd6-d74b78dfd8b2_periodEndLabel_en-US" xlink:label="lab_cnp_IndexedDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Component of ZENS</link:label>
    <link:label id="lab_cnp_IndexedDebtCurrent_label_en-US" xlink:label="lab_cnp_IndexedDebtCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indexed Debt Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IndexedDebtCurrent" xlink:href="cnp-20201231.xsd#cnp_IndexedDebtCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IndexedDebtCurrent" xlink:to="lab_cnp_IndexedDebtCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease_68a2200c-68ec-4e6c-9a9a-0bc73257afe5_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Rate of increase in compensation levels</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Rate of Compensation Increase</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease" xlink:to="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingBenefitObligationRateOfCompensationIncrease" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ElectricGenerationEquipmentMember_440525d9-65b9-4fab-be2b-dc0d4e7d0635_terseLabel_en-US" xlink:label="lab_us-gaap_ElectricGenerationEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric Generation Equipment [Member]</link:label>
    <link:label id="lab_us-gaap_ElectricGenerationEquipmentMember_label_en-US" xlink:label="lab_us-gaap_ElectricGenerationEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Electric Generation Equipment [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ElectricGenerationEquipmentMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ElectricGenerationEquipmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ElectricGenerationEquipmentMember" xlink:to="lab_us-gaap_ElectricGenerationEquipmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NaturalGasMember_e16343f4-05d6-45c3-98dd-da8278d7ec07_terseLabel_en-US" xlink:label="lab_cnp_NaturalGasMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas [Member]</link:label>
    <link:label id="lab_cnp_NaturalGasMember_label_en-US" xlink:label="lab_cnp_NaturalGasMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas [Member]</link:label>
    <link:label id="lab_cnp_NaturalGasMember_documentation_en-US" xlink:label="lab_cnp_NaturalGasMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment information for the Natural Gas segment which consists of intrastate natural gas sales to, and natural gas transportation and distribution for, residential, commercial, industrial and institutional customers.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NaturalGasMember" xlink:href="cnp-20201231.xsd#cnp_NaturalGasMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NaturalGasMember" xlink:to="lab_cnp_NaturalGasMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CityAreaCode_540dbead-086a-4ce4-9083-985f2920a385_terseLabel_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">City Area Code</link:label>
    <link:label id="lab_dei_CityAreaCode_label_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">City Area Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_CityAreaCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CityAreaCode" xlink:to="lab_dei_CityAreaCode" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_a0306e06-fd4b-4056-a3ff-f7870fe818f5_terseLabel_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Legal Entity [Axis]</link:label>
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    <link:label id="lab_dei_LegalEntityAxis_label_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Legal Entity [Axis]</link:label>
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    <link:label id="lab_us-gaap_IncomeTaxAuthorityAxis_901983ec-5335-464e-a27c-73284576f13c_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxAuthorityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Tax Authority [Axis]</link:label>
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    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionLineItems_eff494ff-5eff-4583-bb2b-e0bed8349db4_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]</link:label>
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    <link:label id="lab_cnp_SupplementalBalanceSheetInformationRelatedToLeasesTableTextBlock_b57d82d8-3314-4a06-baa2-20d2f1071cbf_terseLabel_en-US" xlink:label="lab_cnp_SupplementalBalanceSheetInformationRelatedToLeasesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Supplemental Balance Sheet Information Related To Leases [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_PreferredStockRedemptionPricePerShare_624b1e55-ae77-44ec-a431-c06e314c3ed0_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock redemption price (per share)</link:label>
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    <link:label id="lab_cnp_CashReceivedAsCollateralMember_80303219-7062-4480-88a2-9978895f73af_terseLabel_en-US" xlink:label="lab_cnp_CashReceivedAsCollateralMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash received as collateral from securities [Member]</link:label>
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    <link:label id="lab_us-gaap_StockholdersEquityNoteRedeemablePreferredStockIssuePolicy_f0860b04-315c-4ed5-9e9d-204f82e4aa3b_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteRedeemablePreferredStockIssuePolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock Dividends</link:label>
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    <link:label id="lab_cnp_MinnesotaandIndianaGasServiceTerritoryMember_22888056-27e9-4880-91cc-dad2c10008c5_terseLabel_en-US" xlink:label="lab_cnp_MinnesotaandIndianaGasServiceTerritoryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Minnesota and Indiana Gas Service Territories [Member]</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_e0af0f93-362e-41ed-b770-2b563aa726bc_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Remeasurement of pension and other postretirement plans</link:label>
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    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_de3c7199-86a0-4510-b7f6-ec61e926f7ae_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Type [Domain]</link:label>
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    <link:label id="lab_us-gaap_PaymentsToAcquireProductiveAssets_15fafe85-93c4-43b2-8fc0-e58f1edb7e0b_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireProductiveAssets" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital expenditures</link:label>
    <link:label id="lab_us-gaap_PaymentsToAcquireProductiveAssets_label_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireProductiveAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Payments to Acquire Productive Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireProductiveAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireProductiveAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsToAcquireProductiveAssets" xlink:to="lab_us-gaap_PaymentsToAcquireProductiveAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NatureOfExpenseAxis_ecef3aea-e04a-4084-8720-0b2a5e4e78d4_terseLabel_en-US" xlink:label="lab_us-gaap_NatureOfExpenseAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Nature of Expense [Axis]</link:label>
    <link:label id="lab_us-gaap_NatureOfExpenseAxis_label_en-US" xlink:label="lab_us-gaap_NatureOfExpenseAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Nature of Expense [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NatureOfExpenseAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NatureOfExpenseAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NatureOfExpenseAxis" xlink:to="lab_us-gaap_NatureOfExpenseAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OciEquityMethodInvestmentTax_fb9e51b3-d24b-4d16-ad4c-428df6c5ca1b_terseLabel_en-US" xlink:label="lab_us-gaap_OciEquityMethodInvestmentTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other comprehensive loss from unconsolidated affiliates, tax</link:label>
    <link:label id="lab_us-gaap_OciEquityMethodInvestmentTax_label_en-US" xlink:label="lab_us-gaap_OciEquityMethodInvestmentTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">OCI, Equity Method Investment, Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OciEquityMethodInvestmentTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OciEquityMethodInvestmentTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OciEquityMethodInvestmentTax" xlink:to="lab_us-gaap_OciEquityMethodInvestmentTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_bb5ec91f-05d2-4bf6-9a76-fe3a166fbbdb_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_label_en-US" xlink:label="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from (Payments for) Other Financing Activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:to="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_StubperiodMember_b9881b81-4046-450c-b7d0-091c55fc03e7_terseLabel_en-US" xlink:label="lab_cnp_StubperiodMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stub period [Member]</link:label>
    <link:label id="lab_cnp_StubperiodMember_label_en-US" xlink:label="lab_cnp_StubperiodMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stub period [Member]</link:label>
    <link:label id="lab_cnp_StubperiodMember_documentation_en-US" xlink:label="lab_cnp_StubperiodMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stub period [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_StubperiodMember" xlink:href="cnp-20201231.xsd#cnp_StubperiodMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_StubperiodMember" xlink:to="lab_cnp_StubperiodMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PeriodAxis_249802d5-935d-4cb5-ac2c-511f685863a3_terseLabel_en-US" xlink:label="lab_cnp_PeriodAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period [Axis]</link:label>
    <link:label id="lab_cnp_PeriodAxis_label_en-US" xlink:label="lab_cnp_PeriodAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period [Axis]</link:label>
    <link:label id="lab_cnp_PeriodAxis_documentation_en-US" xlink:label="lab_cnp_PeriodAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Period of the transaction occurred [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PeriodAxis" xlink:href="cnp-20201231.xsd#cnp_PeriodAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PeriodAxis" xlink:to="lab_cnp_PeriodAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreferredStockRedemptionPeriodDomain_7ba91034-10b3-49bd-b69a-b1ae0cc7df18_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Redemption, Period [Domain]</link:label>
    <link:label id="lab_cnp_PreferredStockRedemptionPeriodDomain_label_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Redemption, Period [Domain]</link:label>
    <link:label id="lab_cnp_PreferredStockRedemptionPeriodDomain_documentation_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">[Domain] for Preferred Stock, Redemption, Period [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreferredStockRedemptionPeriodDomain" xlink:href="cnp-20201231.xsd#cnp_PreferredStockRedemptionPeriodDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredStockRedemptionPeriodDomain" xlink:to="lab_cnp_PreferredStockRedemptionPeriodDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CoverAbstract_0b55e00a-f9fb-41d0-9add-b6924e4285cd_terseLabel_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cover [Abstract]</link:label>
    <link:label id="lab_dei_CoverAbstract_label_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cover [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_CoverAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CoverAbstract" xlink:to="lab_dei_CoverAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RegulatoryAssetDomain_3402593d-bc22-4b0b-bd23-ee2fb9c26754_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssetDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Asset [Domain]</link:label>
    <link:label id="lab_us-gaap_RegulatoryAssetDomain_label_en-US" xlink:label="lab_us-gaap_RegulatoryAssetDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Regulatory Asset [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RegulatoryAssetDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RegulatoryAssetDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RegulatoryAssetDomain" xlink:to="lab_us-gaap_RegulatoryAssetDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LossFromReclassificationToHeldForSale_bc4b23f6-19ca-4632-a159-1128b74b0c85_terseLabel_en-US" xlink:label="lab_cnp_LossFromReclassificationToHeldForSale" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss from reclassification to held for sale</link:label>
    <link:label id="lab_cnp_LossFromReclassificationToHeldForSale_label_en-US" xlink:label="lab_cnp_LossFromReclassificationToHeldForSale" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss from reclassification to held for sale</link:label>
    <link:label id="lab_cnp_LossFromReclassificationToHeldForSale_documentation_en-US" xlink:label="lab_cnp_LossFromReclassificationToHeldForSale" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss from reclassification to held for sale</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LossFromReclassificationToHeldForSale" xlink:href="cnp-20201231.xsd#cnp_LossFromReclassificationToHeldForSale"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_LossFromReclassificationToHeldForSale" xlink:to="lab_cnp_LossFromReclassificationToHeldForSale" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions_b41ddf45-0295-4fa6-8466-3b24d501c02c_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distributions from unconsolidated affiliates</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions_a46d3f77-0721-4743-aea6-45514ee06990_verboseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Expected cash distribution on Enable Common Units</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Equity Method Investment, Distribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentDividendsOrDistributions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:to="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_RestorationCostExpectedCost_fab5d3a2-bea5-4a90-884e-7289da489b04_verboseLabel_en-US" xlink:label="lab_cnp_RestorationCostExpectedCost" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">System restoration costs threshold for increase in permitted debt to EBITDA covenant ratio</link:label>
    <link:label id="lab_cnp_RestorationCostExpectedCost_label_en-US" xlink:label="lab_cnp_RestorationCostExpectedCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restoration Cost Expected Cost</link:label>
    <link:label id="lab_cnp_RestorationCostExpectedCost_documentation_en-US" xlink:label="lab_cnp_RestorationCostExpectedCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The minimum amount of estimated restoration cost in a calendar year in order for a temporary increase in debt to EBITDA covenant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_RestorationCostExpectedCost" xlink:href="cnp-20201231.xsd#cnp_RestorationCostExpectedCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_RestorationCostExpectedCost" xlink:to="lab_cnp_RestorationCostExpectedCost" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract_e7369b95-f5fe-4913-a34c-1630f6aa6921_terseLabel_en-US" xlink:label="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Statement Impact of Derivative Activity [Abstract]</link:label>
    <link:label id="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract_label_en-US" xlink:label="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Statement Impact of Derivative Activity [Abstract]</link:label>
    <link:label id="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract_documentation_en-US" xlink:label="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Statement Impact of Derivative Activity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:href="cnp-20201231.xsd#cnp_IncomeStatementImpactOfDerivativeActivityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:to="lab_cnp_IncomeStatementImpactOfDerivativeActivityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebt_c33b004d-4857-4a12-ab17-348ab1d88d84_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_label_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebt" xlink:to="lab_us-gaap_LongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_HurricaneHarveyMember_3626f691-9e35-4a15-9af0-89844e7a2bb4_terseLabel_en-US" xlink:label="lab_cnp_HurricaneHarveyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hurricane Harvey</link:label>
    <link:label id="lab_cnp_HurricaneHarveyMember_label_en-US" xlink:label="lab_cnp_HurricaneHarveyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Hurricane Harvey [Member]</link:label>
    <link:label id="lab_cnp_HurricaneHarveyMember_documentation_en-US" xlink:label="lab_cnp_HurricaneHarveyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restoration costs related to Hurricane Harvey</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_HurricaneHarveyMember" xlink:href="cnp-20201231.xsd#cnp_HurricaneHarveyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_HurricaneHarveyMember" xlink:to="lab_cnp_HurricaneHarveyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_4bdb4eef-b592-4906-961a-bed8727b94e5_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInContractWithCustomerLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Contract with Customer, Liability</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInContractWithCustomerLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Contract with Customer, Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability" xlink:to="lab_us-gaap_IncreaseDecreaseInContractWithCustomerLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax_05bc1027-16b4-4cd3-ad7f-0428e9efce70_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pre-tax gain on sale</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discontinued Operation, Gain (Loss) from Disposal of Discontinued Operation, before Income Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax" xlink:to="lab_us-gaap_DiscontinuedOperationGainLossFromDisposalOfDiscontinuedOperationBeforeIncomeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LesseeOperatingLeasesTextBlock_2f8de54d-49eb-4ca6-8006-065ffc04c4ff_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeasesTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Leases [Text Block]</link:label>
    <link:label id="lab_us-gaap_LesseeOperatingLeasesTextBlock_label_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeasesTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lessee, Operating Leases [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeasesTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeasesTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LesseeOperatingLeasesTextBlock" xlink:to="lab_us-gaap_LesseeOperatingLeasesTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_BondsFirstMortgageDue2021Member_4ebf3bf4-15f0-477c-9015-0cddc77f42a3_verboseLabel_en-US" xlink:label="lab_cnp_BondsFirstMortgageDue2021Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">First mortgage bonds 9.15% due 2021</link:label>
    <link:label id="lab_cnp_BondsFirstMortgageDue2021Member_label_en-US" xlink:label="lab_cnp_BondsFirstMortgageDue2021Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bonds First Mortgage Due2021 Member</link:label>
    <link:label id="lab_cnp_BondsFirstMortgageDue2021Member_documentation_en-US" xlink:label="lab_cnp_BondsFirstMortgageDue2021Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">A loan secured by real property that has a first (highest) lien on such property in the event of default by the borrower.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_BondsFirstMortgageDue2021Member" xlink:href="cnp-20201231.xsd#cnp_BondsFirstMortgageDue2021Member"/>
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    <link:label id="lab_cnp_OGEMember_1571de02-92dc-4b68-bff2-b5fe7dad9d8a_terseLabel_en-US" xlink:label="lab_cnp_OGEMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">OGE [Member]</link:label>
    <link:label id="lab_cnp_OGEMember_label_en-US" xlink:label="lab_cnp_OGEMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">OGE [Member]</link:label>
    <link:label id="lab_cnp_OGEMember_documentation_en-US" xlink:label="lab_cnp_OGEMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">OGE [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OGEMember" xlink:href="cnp-20201231.xsd#cnp_OGEMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OGEMember" xlink:to="lab_cnp_OGEMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant_bf023426-40c3-4b35-9f59-82c9ca54c07d_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Participant contributions</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Benefit Obligation, Contributions by Plan Participant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant" xlink:to="lab_us-gaap_DefinedBenefitPlanBenefitObligationContributionsByPlanParticipant" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanServiceCost_d08b1add-1542-431c-9ba1-c4208d2bd68c_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanServiceCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Service cost (1)</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanServiceCost_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanServiceCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Service Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanServiceCost" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanServiceCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanServiceCost" xlink:to="lab_us-gaap_DefinedBenefitPlanServiceCost" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds_6e92d731-ba20-44b1-af28-39753b7a4b3c_terseLabel_en-US" xlink:label="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Income on Securitization Bonds</link:label>
    <link:label id="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds_label_en-US" xlink:label="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Income on Transition and System Restoration Bonds</link:label>
    <link:label id="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds_documentation_en-US" xlink:label="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Interest Income on Transition and System Restoration Bonds</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:href="cnp-20201231.xsd#cnp_InterestIncomeonTransitionandSystemRestorationBonds"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:to="lab_cnp_InterestIncomeonTransitionandSystemRestorationBonds" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MoneyPoolBorrowings_8062abaf-63fb-41c3-bc70-d6c2cf416154_negatedTerseLabel_en-US" xlink:label="lab_cnp_MoneyPoolBorrowings" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Money Pool Borrowings</link:label>
    <link:label id="lab_cnp_MoneyPoolBorrowings_label_en-US" xlink:label="lab_cnp_MoneyPoolBorrowings" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">MoneyPoolBorrowings</link:label>
    <link:label id="lab_cnp_MoneyPoolBorrowings_documentation_en-US" xlink:label="lab_cnp_MoneyPoolBorrowings" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents borrowings from the parent company's money pool.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MoneyPoolBorrowings" xlink:href="cnp-20201231.xsd#cnp_MoneyPoolBorrowings"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MoneyPoolBorrowings" xlink:to="lab_cnp_MoneyPoolBorrowings" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskByBenchmarkAxis_47f406a7-de99-44a9-bd6b-7fca9f13c97c_verboseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk by Benchmark [Axis]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskByBenchmarkAxis_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Concentration Risk Benchmark [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ConcentrationRiskByBenchmarkAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:to="lab_us-gaap_ConcentrationRiskByBenchmarkAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CustomerRelationshipsMember_6238af7e-4232-4823-8f63-073d619cb290_terseLabel_en-US" xlink:label="lab_us-gaap_CustomerRelationshipsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Customer Relationships [Member]</link:label>
    <link:label id="lab_us-gaap_CustomerRelationshipsMember_label_en-US" xlink:label="lab_us-gaap_CustomerRelationshipsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Customer Relationships [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CustomerRelationshipsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CustomerRelationshipsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CustomerRelationshipsMember" xlink:to="lab_us-gaap_CustomerRelationshipsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CostOfGoodsAndServicesSold_43600604-432b-4aed-8390-20763df1c2c1_terseLabel_en-US" xlink:label="lab_us-gaap_CostOfGoodsAndServicesSold" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-utility cost of revenues, including natural gas</link:label>
    <link:label id="lab_us-gaap_CostOfGoodsAndServicesSold_label_en-US" xlink:label="lab_us-gaap_CostOfGoodsAndServicesSold" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cost of Goods and Services Sold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CostOfGoodsAndServicesSold" xlink:to="lab_us-gaap_CostOfGoodsAndServicesSold" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LeaseCostAbstract_dc3bed90-f97e-46dd-9b72-e61616351296_terseLabel_en-US" xlink:label="lab_us-gaap_LeaseCostAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease, Cost [Abstract]</link:label>
    <link:label id="lab_us-gaap_LeaseCostAbstract_label_en-US" xlink:label="lab_us-gaap_LeaseCostAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease, Cost [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCostAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeaseCostAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LeaseCostAbstract" xlink:to="lab_us-gaap_LeaseCostAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin_f3491614-ffa2-4293-9dba-c2906c2767ef_negatedTerseLabel_en-US" xlink:label="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital distribution to parent associated with Internal Spin</link:label>
    <link:label id="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin_label_en-US" xlink:label="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital distribution to parent associated with Internal Spin</link:label>
    <link:label id="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin_documentation_en-US" xlink:label="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital distribution to parent associated with Internal Spin</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:href="cnp-20201231.xsd#cnp_CapitalDistributionToParentAssociatedWithInternalSpin"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:to="lab_cnp_CapitalDistributionToParentAssociatedWithInternalSpin" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_d1e63efa-bf1b-4d3f-8307-840b89ad4f28_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (Loss) from Discontinued Operations</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_3b8a1b8d-29d1-41d0-a889-a0e58c04a1a5_verboseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net income (loss) from Discontinued Operations</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income (Loss) from Discontinued Operations, Net of Tax, Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:to="lab_us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CostsAndExpenses_8b2a8e7b-be5d-40e3-8c06-602997e163cb_totalLabel_en-US" xlink:label="lab_us-gaap_CostsAndExpenses" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_CostsAndExpenses_label_en-US" xlink:label="lab_us-gaap_CostsAndExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Costs and Expenses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CostsAndExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CostsAndExpenses" xlink:to="lab_us-gaap_CostsAndExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_b7754541-d805-41b1-9136-1eef60cc408d_terseLabel_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_label_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementEquityComponentsAxis" xlink:to="lab_us-gaap_StatementEquityComponentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_d6be8cae-dab0-41ce-9b2e-051c551372d7_terseLabel_en-US" xlink:label="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contingent principal amount of indexed debt securities issued by CenterPoint Energy in September 1999 and outstanding and exchangeable</link:label>
    <link:label id="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_label_en-US" xlink:label="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument Contingent Principal Amount Outstanding</link:label>
    <link:label id="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_documentation_en-US" xlink:label="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of outstanding contingent principal under the zero premium exchangeable subordinated notes contract contingent principal clause.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DebtInstrumentContingentPrincipalAmountOutstanding" xlink:href="cnp-20201231.xsd#cnp_DebtInstrumentContingentPrincipalAmountOutstanding"/>
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    <link:label id="lab_dei_EntityInteractiveDataCurrent_902faf0a-d6f1-449a-a757-0aa898e03399_terseLabel_en-US" xlink:label="lab_dei_EntityInteractiveDataCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Interactive Data Current</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_c6d7e3c6-faa2-4d0d-8e84-3caa430b1a4a_totalLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net periodic cost (credit)</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfAllocationOfPlanAssetsTableTextBlock_779f514d-cafe-43d0-ba47-018756aaa85a_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAllocationOfPlanAssetsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Allocation of Plan Assets [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_RevenuesAbstract_be28b195-efaf-4cad-ad04-5ccd8c13b2de_terseLabel_en-US" xlink:label="lab_us-gaap_RevenuesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenues:</link:label>
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    <link:label id="lab_us-gaap_WorkforceSubjectToCollectiveBargainingArrangementsMember_cb9b3c78-53d5-4b23-bff0-5edbeb6879a1_terseLabel_en-US" xlink:label="lab_us-gaap_WorkforceSubjectToCollectiveBargainingArrangementsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements [Member]</link:label>
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    <link:label id="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock_276a0558-9517-40e1-a3d3-5c5bb704bdae_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity (CenterPoint Energy) [Text Block]</link:label>
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    <link:label id="lab_cnp_PreferredUnitsHeld_0ec81541-6a8e-4b8c-81ed-a3c3c65eeb1b_terseLabel_en-US" xlink:label="lab_cnp_PreferredUnitsHeld" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred units held</link:label>
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    <link:label id="lab_cnp_PreferredUnitsHeld_documentation_en-US" xlink:label="lab_cnp_PreferredUnitsHeld" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents the number of Series A Preferred Units held as of the balance sheet date.</link:label>
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    <link:label id="lab_cnp_CostMethodInvestmentDividendsOrDistributions_fdf7b782-70d6-4fe1-9317-8d1ed701a31d_verboseLabel_en-US" xlink:label="lab_cnp_CostMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distributions received from Enable cost method investment</link:label>
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    <link:label id="lab_cnp_CostMethodInvestmentDividendsOrDistributions_documentation_en-US" xlink:label="lab_cnp_CostMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This item represents disclosure of the amount of dividends or other distributions received from unconsolidated subsidiaries, certain corporate joint ventures, and certain noncontrolled corporation; these investments are accounted for under the cost method of accounting. This element excludes distributions that constitute a return of investment, which are classified as investing activities.</link:label>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_535fca9d-4543-468e-ba40-d7e81af195a6_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PurchaseObligationDueInThirdYear_289a44b7-b0c1-410f-b69a-d3e8dee444ad_verboseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInThirdYear" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2023</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationDueInThirdYear_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInThirdYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Purchase Obligation, to be Paid, Year Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PurchaseObligationDueInThirdYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PurchaseObligationDueInThirdYear"/>
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    <link:label id="lab_us-gaap_StatementOfStockholdersEquityAbstract_b6c73947-d6d7-4f5d-9c65-413376c59c30_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statement of Stockholders' Equity [Abstract]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfStockholdersEquityAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfStockholdersEquityAbstract" xlink:to="lab_us-gaap_StatementOfStockholdersEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilities_86a03274-9f2c-4063-a050-5cb9d922af99_totalLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total deferred tax liabilities</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilities_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deferred Tax Liabilities, Gross</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths_5a8d3880-17ee-450f-a469-077a0eac90a1_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension benefit payments 2020</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Expected Future Benefit Payment, Year One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanExpectedFutureBenefitPaymentsNextTwelveMonths"/>
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    <link:label id="lab_cnp_ReceivableFromSaleOfDisposalGroup_7bb7fbd5-e94f-4a63-b7bf-8f4ee2fefc4c_terseLabel_en-US" xlink:label="lab_cnp_ReceivableFromSaleOfDisposalGroup" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Receivable from sale of disposal group</link:label>
    <link:label id="lab_cnp_ReceivableFromSaleOfDisposalGroup_label_en-US" xlink:label="lab_cnp_ReceivableFromSaleOfDisposalGroup" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Receivable from sale of disposal group</link:label>
    <link:label id="lab_cnp_ReceivableFromSaleOfDisposalGroup_documentation_en-US" xlink:label="lab_cnp_ReceivableFromSaleOfDisposalGroup" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Receivable from sale of disposal group</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ReceivableFromSaleOfDisposalGroup" xlink:href="cnp-20201231.xsd#cnp_ReceivableFromSaleOfDisposalGroup"/>
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    <link:label id="lab_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_1e600c0d-c6cf-4c6e-9b75-448694f82568_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from sale of assets</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment" xlink:to="lab_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityListingsExchangeAxis_c31479ed-6581-46d3-ba6a-841296f03d55_terseLabel_en-US" xlink:label="lab_dei_EntityListingsExchangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Listings, Exchange [Axis]</link:label>
    <link:label id="lab_dei_EntityListingsExchangeAxis_label_en-US" xlink:label="lab_dei_EntityListingsExchangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Listings, Exchange [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityListingsExchangeAxis" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityListingsExchangeAxis"/>
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    <link:label id="lab_cnp_PreferredStockRedemptionPeriodAxis_e37f7fce-8a8c-4614-ab06-f579ab0365ed_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Redemption, Period [Axis]</link:label>
    <link:label id="lab_cnp_PreferredStockRedemptionPeriodAxis_label_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Redemption, Period [Axis]</link:label>
    <link:label id="lab_cnp_PreferredStockRedemptionPeriodAxis_documentation_en-US" xlink:label="lab_cnp_PreferredStockRedemptionPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Redemption, Period [Axis]</link:label>
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    <link:label id="lab_cnp_LimitedPartnerInterestinEnableAbstract_0e58a281-21e3-4b69-a0cd-ebb4b708a47c_terseLabel_en-US" xlink:label="lab_cnp_LimitedPartnerInterestinEnableAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Enable Partnership Interest [Abstract]</link:label>
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    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract_72388171-f9ab-4197-b0b4-59da0674ac8e_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]</link:label>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract_label_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement, Additional Disclosure [Abstract]</link:label>
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    <link:label id="lab_cnp_BondsPollutionControlDueRange1Member_cb415c0f-59ba-492f-8e62-b2b3a03ed16c_terseLabel_en-US" xlink:label="lab_cnp_BondsPollutionControlDueRange1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bonds Pollution Control Due Range 1 [Member]</link:label>
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    <link:label id="lab_cnp_BondsPollutionControlDueRange1Member_documentation_en-US" xlink:label="lab_cnp_BondsPollutionControlDueRange1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bonds Pollution Control Due Range 1 [Member]</link:label>
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    <link:label id="lab_us-gaap_RetirementPlanTypeDomain_b7f1d2c1-7d6c-4653-aa80-4cb0230f76d1_terseLabel_en-US" xlink:label="lab_us-gaap_RetirementPlanTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retirement Plan Type [Domain]</link:label>
    <link:label id="lab_us-gaap_RetirementPlanTypeDomain_label_en-US" xlink:label="lab_us-gaap_RetirementPlanTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retirement Plan Type [Domain]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetirementPlanTypeDomain" xlink:to="lab_us-gaap_RetirementPlanTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis_c47a5698-79d7-4427-a6c8-5d5f76f212cc_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Exercise Price Range [Axis]</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Exercise Price Range [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis" xlink:to="lab_us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract_5d040783-7ff6-4dbf-8af7-756bc9ad887e_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Denominator:</link:label>
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    <link:label id="lab_srt_ConsolidationItemsAxis_ebf47999-9e45-4af4-8c6d-37440366490b_terseLabel_en-US" xlink:label="lab_srt_ConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidation Items [Axis]</link:label>
    <link:label id="lab_srt_ConsolidationItemsAxis_label_en-US" xlink:label="lab_srt_ConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consolidation Items [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ConsolidationItemsAxis"/>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax_91ea58ba-057b-4a74-806a-9c3a75fc86b7_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net loss (gain)</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansNetUnamortizedGainLossArisingDuringPeriodBeforeTax"/>
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    <link:label id="lab_us-gaap_NondesignatedMember_e199b525-7c19-467b-9dd5-7018263ec39d_terseLabel_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Not Designated as Hedging Instrument [Member]</link:label>
    <link:label id="lab_us-gaap_NondesignatedMember_label_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Not Designated as Hedging Instrument [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NondesignatedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NondesignatedMember" xlink:to="lab_us-gaap_NondesignatedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccountsReceivableNetCurrent_a646098b-b07b-41e8-b7e4-57f65a22c03f_verboseLabel_en-US" xlink:label="lab_us-gaap_AccountsReceivableNetCurrent" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts receivable</link:label>
    <link:label id="lab_us-gaap_AccountsReceivableNetCurrent_label_en-US" xlink:label="lab_us-gaap_AccountsReceivableNetCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts Receivable, after Allowance for Credit Loss, Current</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent" xlink:to="lab_us-gaap_AccountsReceivableNetCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GoodwillImpairmentLoss_1bd1aeaa-a486-4800-8a26-ebbd1842afb8_verboseLabel_en-US" xlink:label="lab_us-gaap_GoodwillImpairmentLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill impairment</link:label>
    <link:label id="lab_us-gaap_GoodwillImpairmentLoss_d3e822fe-db35-4f0c-9240-999843433ed2_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillImpairmentLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill, Impairment Loss</link:label>
    <link:label id="lab_us-gaap_GoodwillImpairmentLoss_label_en-US" xlink:label="lab_us-gaap_GoodwillImpairmentLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Goodwill, Impairment Loss</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillImpairmentLoss" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillImpairmentLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GoodwillImpairmentLoss" xlink:to="lab_us-gaap_GoodwillImpairmentLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccumulatedOtherComprehensiveIncomeLossDefinedBenefitPensionAndOtherPostretirementPlansNetOfTax_556c0b31-b49b-4076-9b66-ee8f8c355c28_negatedPeriodStartLabel_en-US" xlink:label="lab_us-gaap_AccumulatedOtherComprehensiveIncomeLossDefinedBenefitPensionAndOtherPostretirementPlansNetOfTax" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Beginning Balance</link:label>
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    <link:label id="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_7bc1d100-fe10-4054-ac5b-7b95c4e1235d_terseLabel_en-US" xlink:label="lab_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total lease payments</link:label>
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    <link:label id="lab_us-gaap_NonoperatingIncomeExpenseAbstract_8908a489-3cb6-461e-bd4d-72c95655118c_verboseLabel_en-US" xlink:label="lab_us-gaap_NonoperatingIncomeExpenseAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Income (Expense):</link:label>
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    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_33cf7fc0-ac38-439a-939f-39fda82509d4_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
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    <link:label id="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesTable_documentation_en-US" xlink:label="lab_cnp_ScheduleOfRegulatoryAssetsAndLiabilitiesTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">A table of assets and liabilities that are created when regulatory agencies permit public utilities to defer certain costs and the recognition of certain revenues that are included in rate-setting to the balance sheet.</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract_b113f382-a558-447b-89d4-b6c65c180ee0_verboseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Liabilities</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:to="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract_61abad12-697f-4883-8457-ecf65512fe3e_terseLabel_en-US" xlink:label="lab_us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current income tax expense (benefit):</link:label>
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    <link:label id="lab_us-gaap_AccountsReceivableRelatedParties_a5b11c0f-8177-4052-81c3-2e42d9102620_terseLabel_en-US" xlink:label="lab_us-gaap_AccountsReceivableRelatedParties" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accounts Receivable, Related Parties</link:label>
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    <link:label id="lab_cnp_MISOTransactionsPolicyTextBlock_documentation_en-US" xlink:label="lab_cnp_MISOTransactionsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">With the IURC's approval, the Company is a member of the MISO, a FERC approved regional transmission organization. The MISO serves the electrical transmission needs of much of the Midwest and maintains operational control over the Company's electric transmission facilities as well as that of other Midwest utilities. MISO-related purchase and sale transactions are accounted for on a net hourly position. Net Purchases are recorded in Cost of Fuel and Purchased Power, and net sales are recorded in Electric Utility Revenues. Any revenues received from MISO for transactions not specifically assigned to a unit of power, such as use of the transmission system or other administrative amounts, are reflected in Electric Utility revenues. Any expenses incurred within the MISO market by the Company that are not specifically identified with a unit of power purchased, such as socialized administrative costs, are treated as Other Operating expense.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MISOTransactionsPolicyTextBlock" xlink:href="cnp-20201231.xsd#cnp_MISOTransactionsPolicyTextBlock"/>
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    <link:label id="lab_dei_DocumentAnnualReport_356cdec9-00b8-4d41-8d5e-6e0f81a821b0_terseLabel_en-US" xlink:label="lab_dei_DocumentAnnualReport" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Document Annual Report</link:label>
    <link:label id="lab_dei_DocumentAnnualReport_label_en-US" xlink:label="lab_dei_DocumentAnnualReport" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Document Annual Report</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentAnnualReport" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_DocumentAnnualReport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentAnnualReport" xlink:to="lab_dei_DocumentAnnualReport" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommercialPaperMember_a48f3d50-639a-419d-add8-bba4f1c99682_terseLabel_en-US" xlink:label="lab_us-gaap_CommercialPaperMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Commercial paper (4)</link:label>
    <link:label id="lab_us-gaap_CommercialPaperMember_label_en-US" xlink:label="lab_us-gaap_CommercialPaperMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Commercial Paper [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommercialPaperMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommercialPaperMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommercialPaperMember" xlink:to="lab_us-gaap_CommercialPaperMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense_908e1f29-88c2-4da6-8bec-5a506e5f6685_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income tax benefit recognized related to LTIPs</link:label>
    <link:label id="lab_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense_label_en-US" xlink:label="lab_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Payment Arrangement, Expense, Tax Benefit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:to="lab_us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis_19890875-c746-49cf-b05a-19eb77479996_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Category of Item Purchased [Axis]</link:label>
    <link:label id="lab_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis_label_en-US" xlink:label="lab_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Category of Item Purchased [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis" xlink:to="lab_us-gaap_LongTermPurchaseCommitmentByCategoryOfItemPurchasedAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_IDSDerivativeMember_582f3a4a-ea3d-4d6f-a6f2-27bea1810c0d_terseLabel_en-US" xlink:label="lab_cnp_IDSDerivativeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">IDS Derivative [Member]</link:label>
    <link:label id="lab_cnp_IDSDerivativeMember_label_en-US" xlink:label="lab_cnp_IDSDerivativeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">IDS Derivative [Member]</link:label>
    <link:label id="lab_cnp_IDSDerivativeMember_documentation_en-US" xlink:label="lab_cnp_IDSDerivativeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Derivative instrument related to indexed debt securities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IDSDerivativeMember" xlink:href="cnp-20201231.xsd#cnp_IDSDerivativeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IDSDerivativeMember" xlink:to="lab_cnp_IDSDerivativeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_1c64617f-3255-49d6-a93f-d6e0082548c9_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural gas inventory</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Inventory, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities_3d0f1389-6d41-4b3e-b070-4c11a7695011_verboseLabel_en-US" xlink:label="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accretion of debt component of ZENS</link:label>
    <link:label id="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities_label_en-US" xlink:label="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accretion Of Debt Component Indexed Debt Securities</link:label>
    <link:label id="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities_documentation_en-US" xlink:label="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The amount of annual balance buildup of the debt portion of indexed debt securities up to the contingent principal amount on debt component of ZENS.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:href="cnp-20201231.xsd#cnp_AccretionOfDebtComponentIndexedDebtSecurities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:to="lab_cnp_AccretionOfDebtComponentIndexedDebtSecurities" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_VectrenacquisitionMember_e56f42d0-dbca-4af5-a9a0-6b092dba789c_terseLabel_en-US" xlink:label="lab_cnp_VectrenacquisitionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren acquisition [Member]</link:label>
    <link:label id="lab_cnp_VectrenacquisitionMember_label_en-US" xlink:label="lab_cnp_VectrenacquisitionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren acquisition [Member]</link:label>
    <link:label id="lab_cnp_VectrenacquisitionMember_documentation_en-US" xlink:label="lab_cnp_VectrenacquisitionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren acquisition [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_VectrenacquisitionMember" xlink:href="cnp-20201231.xsd#cnp_VectrenacquisitionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_VectrenacquisitionMember" xlink:to="lab_cnp_VectrenacquisitionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ProceedsFromMergerInterest_7b25f1d2-b154-4bd8-a6f1-57c8b88411f7_terseLabel_en-US" xlink:label="lab_cnp_ProceedsFromMergerInterest" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Merger - Interest</link:label>
    <link:label id="lab_cnp_ProceedsFromMergerInterest_label_en-US" xlink:label="lab_cnp_ProceedsFromMergerInterest" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Merger - Interest</link:label>
    <link:label id="lab_cnp_ProceedsFromMergerInterest_documentation_en-US" xlink:label="lab_cnp_ProceedsFromMergerInterest" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash Received in exchange for its interest in Enable GP</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ProceedsFromMergerInterest" xlink:href="cnp-20201231.xsd#cnp_ProceedsFromMergerInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ProceedsFromMergerInterest" xlink:to="lab_cnp_ProceedsFromMergerInterest" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTable_2b96b3cf-20fe-4ef1-83fe-381571fa163a_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTable_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTable" xlink:to="lab_us-gaap_SubsequentEventTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets_8f2762d1-9644-478f-ad2b-636b04ef2409_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Other Assets, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_7b3f9169-dd34-4e5e-bb92-2e6f778f07c2_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Issuances related to benefit and investment plans</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Shares Issued, Shares, Share-based Payment Arrangement, after Forfeiture</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock_ebb1e825-6de5-453e-9e6c-6439fa913368_terseLabel_en-US" xlink:label="lab_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Summary of Income Tax Contingencies [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock_label_en-US" xlink:label="lab_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Summary of Income Tax Contingencies [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SummaryOfIncomeTaxContingenciesTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock" xlink:to="lab_us-gaap_SummaryOfIncomeTaxContingenciesTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MinorityInterest_f098cfed-2bf0-4753-8e5a-d1f63e822e94_terseLabel_en-US" xlink:label="lab_us-gaap_MinorityInterest" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-controlling interest</link:label>
    <link:label id="lab_us-gaap_MinorityInterest_label_en-US" xlink:label="lab_us-gaap_MinorityInterest" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stockholders' Equity Attributable to Noncontrolling Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MinorityInterest" xlink:to="lab_us-gaap_MinorityInterest" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_407735ec-f3b9-4d31-a7bf-5931e7fe2da4_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInContractWithCustomerAsset" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Contract with Customer, Asset</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInContractWithCustomerAsset" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Increase (Decrease) in Contract with Customer, Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerAsset"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset" xlink:to="lab_us-gaap_IncreaseDecreaseInContractWithCustomerAsset" xlink:type="arc" order="1"/>
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    <link:label id="lab_cnp_ProvisionfordoubtfulaccountsTableTextBlock_acced3d8-a32c-4167-a5f4-c3143ef2be5f_terseLabel_en-US" xlink:label="lab_cnp_ProvisionfordoubtfulaccountsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Provision for doubtful accounts [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_PreferredStockDividendPaymentRateVariable_0cb448ad-56d2-45db-8547-e24e91066ecf_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendPaymentRateVariable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Dividend Payment Rate, Variable</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentBeforeTaxPortionAttributableToParent_5ba2fc55-c4ee-44f1-b502-4c6b1c13df91_totalLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentBeforeTaxPortionAttributableToParent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total recognized in comprehensive income</link:label>
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    <link:label id="lab_cnp_SeriesAPreferredUnitsMember_5f42a038-1217-4766-9e03-716a0c40c16f_verboseLabel_en-US" xlink:label="lab_cnp_SeriesAPreferredUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Series A Preferred Units [Member]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_srt_ParentCompanyMember" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ParentCompanyMember"/>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsAndSupplies_899cf8ba-d1fb-40fe-ba1f-5151eae3bda4_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsAndSupplies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Materials and supplies</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsAndSupplies_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsAndSupplies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal group, Including Discontinued Operation, Materials and Supplies</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent_913754af-2600-4d6f-8e8d-f358c084fe46_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Adjustment to pension and other postretirement plans</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" xlink:to="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LongtermDebtExcludingZENSMember_6343c907-275a-4586-9a8f-670055ae318c_terseLabel_en-US" xlink:label="lab_cnp_LongtermDebtExcludingZENSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long term Debt Excluding ZENS [Member]</link:label>
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    <link:label id="lab_cnp_LongtermDebtExcludingZENSMember_documentation_en-US" xlink:label="lab_cnp_LongtermDebtExcludingZENSMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents balances related to long-term debt excluding ZENS</link:label>
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    <link:label id="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested_2484cdcc-5e14-4e16-90be-83039bff2095_terseLabel_en-US" xlink:label="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total intrinsic value of awards received by participants</link:label>
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    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_01254f35-6e7c-4a0d-a36b-f2a8c732e711_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition, Acquiree [Domain]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition, Acquiree [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:to="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ROUAssetObtainedInExchangeforOperatingLeaseLiabilityIncludingTransitionImpactofASC842Adoption_06a2bf30-9c64-41c8-82fd-978d6c9ec103_terseLabel_en-US" xlink:label="lab_cnp_ROUAssetObtainedInExchangeforOperatingLeaseLiabilityIncludingTransitionImpactofASC842Adoption" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ROU Asset Obtained In Exchange for Operating Lease Liability, Including Transition Impact of ASC 842 Adoption</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_cnp_ROUAssetObtainedInExchangeforOperatingLeaseLiabilityIncludingTransitionImpactofASC842Adoption" xlink:href="cnp-20201231.xsd#cnp_ROUAssetObtainedInExchangeforOperatingLeaseLiabilityIncludingTransitionImpactofASC842Adoption"/>
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    <link:label id="lab_cnp_PensionAndPostretirementBenefitsAndShareBasedPaymentsDisclosureTextBlock_2daa530a-1aa3-4416-88f8-b1df089912cb_verboseLabel_en-US" xlink:label="lab_cnp_PensionAndPostretirementBenefitsAndShareBasedPaymentsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stock-Based Incentive Compensation Plans and Employee Benefit Plans [Text Block]</link:label>
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    <link:label id="lab_cnp_EnergyServicesMember_899aabe1-6479-42c6-abd8-c4199308cdfd_terseLabel_en-US" xlink:label="lab_cnp_EnergyServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Energy Services [Member]</link:label>
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    <link:label id="lab_cnp_EnergyServicesMember_documentation_en-US" xlink:label="lab_cnp_EnergyServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment information for the Energy Services segment which offers variable and fixed price physical natural gas supplies primarily to commercial and industrial customers and electric and gas utilities.</link:label>
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    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentLineItems_8eb2fd7c-6727-45a9-8595-9e12b8f318e9_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment [Line Items]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_614e0487-eacd-4878-923a-a454dcc9a759_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Property, Plant and Equipment, Type [Domain]</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-Lived Tangible Asset [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_LeaseDisclosureTable_0842cfae-efc3-441c-a0ab-922eeac03e63_terseLabel_en-US" xlink:label="lab_cnp_LeaseDisclosureTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease Disclosure [Table]</link:label>
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    <link:label id="lab_cnp_LeaseDisclosureTable_documentation_en-US" xlink:label="lab_cnp_LeaseDisclosureTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Lease Disclosure [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_LeaseDisclosureTable" xlink:href="cnp-20201231.xsd#cnp_LeaseDisclosureTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_LeaseDisclosureTable" xlink:to="lab_cnp_LeaseDisclosureTable" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Lettersofcreditswinglinesublimit_d310ae2c-8e52-49dd-ab0a-0ce8d2fe1eda_terseLabel_en-US" xlink:label="lab_cnp_Lettersofcreditswinglinesublimit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Letters of credit swing line sublimit</link:label>
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    <link:label id="lab_cnp_Lettersofcreditswinglinesublimit_documentation_en-US" xlink:label="lab_cnp_Lettersofcreditswinglinesublimit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Letters of credit swing line sublimit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Lettersofcreditswinglinesublimit" xlink:href="cnp-20201231.xsd#cnp_Lettersofcreditswinglinesublimit"/>
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    <link:label id="lab_cnp_GeneralMortgageBondsDue2050Member_2618bd04-9775-4504-934d-6da2e1ee5442_terseLabel_en-US" xlink:label="lab_cnp_GeneralMortgageBondsDue2050Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">General Mortgage Bonds Due 2050 [Member]</link:label>
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    <link:label id="lab_cnp_GeneralMortgageBondsDue2050Member_documentation_en-US" xlink:label="lab_cnp_GeneralMortgageBondsDue2050Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">General Mortgage Bonds Due 2050 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_GeneralMortgageBondsDue2050Member" xlink:href="cnp-20201231.xsd#cnp_GeneralMortgageBondsDue2050Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_GeneralMortgageBondsDue2050Member" xlink:to="lab_cnp_GeneralMortgageBondsDue2050Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanBenefitObligationBenefitsPaid_6df785fc-4a79-4a30-a180-ecfc43dbdaa5_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanBenefitObligationBenefitsPaid" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Benefits paid</link:label>
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    <link:label id="lab_us-gaap_USTreasurySecuritiesMember_fda3680a-8668-4fb0-b3d9-5e05bd4698ba_terseLabel_en-US" xlink:label="lab_us-gaap_USTreasurySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">U.S. treasuries [Member]</link:label>
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    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_9d12312f-7859-4640-9c84-d49a15e21e98_verboseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Issuances of stock</link:label>
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsGross_26ff5d6b-a16b-41cc-b21d-13843e21d0cc_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsGross" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Gross Carrying Amount</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_b4910231-c592-41fd-a0fc-36e8a4b7b0c0_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Basis spread on LIBOR</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:to="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1_85bffba1-403a-4043-883f-603548dbcb0a_terseLabel_en-US" xlink:label="lab_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Capital distribution to parent associated with the sale of CES</link:label>
    <link:label id="lab_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1_label_en-US" xlink:label="lab_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Significant Noncash Transaction, Value of Consideration Given</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1" xlink:to="lab_us-gaap_OtherSignificantNoncashTransactionValueOfConsiderationGiven1" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_MergerwithVectrenAbstract_41cde46d-c4de-4008-bfea-c40a8b1c0bbe_terseLabel_en-US" xlink:label="lab_cnp_MergerwithVectrenAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Merger with Vectren [Abstract]</link:label>
    <link:label id="lab_cnp_MergerwithVectrenAbstract_label_en-US" xlink:label="lab_cnp_MergerwithVectrenAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Merger with Vectren [Abstract]</link:label>
    <link:label id="lab_cnp_MergerwithVectrenAbstract_documentation_en-US" xlink:label="lab_cnp_MergerwithVectrenAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Merger with Vectren [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_MergerwithVectrenAbstract" xlink:href="cnp-20201231.xsd#cnp_MergerwithVectrenAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MergerwithVectrenAbstract" xlink:to="lab_cnp_MergerwithVectrenAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsMember_ab5c0b5a-7142-4629-b696-8b8aac464f7b_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash and Cash Equivalents [Member]</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsMember_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash and Cash Equivalents [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsMember" xlink:to="lab_us-gaap_CashAndCashEquivalentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_OtherRevenueExcludingAssessedTax_89e69e75-6701-45e0-af4c-c8bcb2ce24fe_terseLabel_en-US" xlink:label="lab_cnp_OtherRevenueExcludingAssessedTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other (1)</link:label>
    <link:label id="lab_cnp_OtherRevenueExcludingAssessedTax_label_en-US" xlink:label="lab_cnp_OtherRevenueExcludingAssessedTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Revenue Excluding Assessed Tax</link:label>
    <link:label id="lab_cnp_OtherRevenueExcludingAssessedTax_documentation_en-US" xlink:label="lab_cnp_OtherRevenueExcludingAssessedTax" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount, excluding tax collected from customer, of alternative revenue programs and leases revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_OtherRevenueExcludingAssessedTax" xlink:href="cnp-20201231.xsd#cnp_OtherRevenueExcludingAssessedTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OtherRevenueExcludingAssessedTax" xlink:to="lab_cnp_OtherRevenueExcludingAssessedTax" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ContestedAmountOfFinesImposed_a3ee5b77-9b6d-4c16-98d1-f5dfc5a0acbb_terseLabel_en-US" xlink:label="lab_cnp_ContestedAmountOfFinesImposed" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contested amount of fines imposed</link:label>
    <link:label id="lab_cnp_ContestedAmountOfFinesImposed_label_en-US" xlink:label="lab_cnp_ContestedAmountOfFinesImposed" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ContestedAmountOfFinesImposed</link:label>
    <link:label id="lab_cnp_ContestedAmountOfFinesImposed_documentation_en-US" xlink:label="lab_cnp_ContestedAmountOfFinesImposed" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contested amount of fines imposed by the Minnesota Office of Pipeline Safety.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ContestedAmountOfFinesImposed" xlink:href="cnp-20201231.xsd#cnp_ContestedAmountOfFinesImposed"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ContestedAmountOfFinesImposed" xlink:to="lab_cnp_ContestedAmountOfFinesImposed" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan_b7d3ae7d-8ac3-4702-8b01-201e040013d4_terseLabel_en-US" xlink:label="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number of Common stock held by the savings plan (in shares)</link:label>
    <link:label id="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan_label_en-US" xlink:label="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Number Of Shares In Common Stock Held By Savings Plan</link:label>
    <link:label id="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan_documentation_en-US" xlink:label="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The number of shares of the entity's common stock held by the savings plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:href="cnp-20201231.xsd#cnp_NumberOfSharesInCommonStockHeldBySavingsPlan"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:to="lab_cnp_NumberOfSharesInCommonStockHeldBySavingsPlan" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_61d8d328-bad0-4bb3-9e8b-93f2764063fc_verboseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Non-current assets held for sale</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_328d3768-67b4-4608-b621-49642f54376b_totalLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total non-current assets held for sale</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashFlowHedgingMember_38510dee-b21c-4956-97a1-9ecbba3d78d2_terseLabel_en-US" xlink:label="lab_us-gaap_CashFlowHedgingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash Flow Hedging [Member]</link:label>
    <link:label id="lab_us-gaap_CashFlowHedgingMember_label_en-US" xlink:label="lab_us-gaap_CashFlowHedgingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash Flow Hedging [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashFlowHedgingMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashFlowHedgingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashFlowHedgingMember" xlink:to="lab_us-gaap_CashFlowHedgingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member_cffb1c07-7e38-4f7c-8066-9e6e53406958_terseLabel_en-US" xlink:label="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in June 2022 [Member]</link:label>
    <link:label id="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member_label_en-US" xlink:label="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022 [Member]</link:label>
    <link:label id="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member_documentation_en-US" xlink:label="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Workforce Subject to Collective Bargaining Arrangements Expiring in June 2022</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:href="cnp-20201231.xsd#cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:to="lab_cnp_WorkforceSubjecttoCollectiveBargainingArrangementsExpiringinJune2022Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_bf972c17-7bae-4344-bb85-88106c075c3c_terseLabel_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Carrying amount [Member]</link:label>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reported Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:to="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityWellKnownSeasonedIssuer_cd914b22-72e8-4655-a24a-0283c620967f_terseLabel_en-US" xlink:label="lab_dei_EntityWellKnownSeasonedIssuer" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Well-known Seasoned Issuer</link:label>
    <link:label id="lab_dei_EntityWellKnownSeasonedIssuer_label_en-US" xlink:label="lab_dei_EntityWellKnownSeasonedIssuer" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Well-known Seasoned Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityWellKnownSeasonedIssuer" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityWellKnownSeasonedIssuer"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityWellKnownSeasonedIssuer" xlink:to="lab_dei_EntityWellKnownSeasonedIssuer" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueFromContractWithCustomerTextBlock_7c40e29e-0a8f-4252-bf48-a80bff2d9f31_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueFromContractWithCustomerTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue Recognition [Text Block]</link:label>
    <link:label id="lab_us-gaap_RevenueFromContractWithCustomerTextBlock_label_en-US" xlink:label="lab_us-gaap_RevenueFromContractWithCustomerTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue from Contract with Customer [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueFromContractWithCustomerTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueFromContractWithCustomerTextBlock" xlink:to="lab_us-gaap_RevenueFromContractWithCustomerTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage_4f354b85-c9a4-4d21-bbdc-221e8321fb65_verboseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Ownership percentage of equity method investment</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage_0a205d14-9843-4a0d-80e9-cf9e73a6bef9_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Limited partner ownership interest</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Equity Method Investment, Ownership Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:to="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ThirdQuarter2020Member_54d019c3-20f4-4853-ace6-43fa0cf91a59_terseLabel_en-US" xlink:label="lab_cnp_ThirdQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Third Quarter 2020 [Member]</link:label>
    <link:label id="lab_cnp_ThirdQuarter2020Member_label_en-US" xlink:label="lab_cnp_ThirdQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Third Quarter 2020 [Member]</link:label>
    <link:label id="lab_cnp_ThirdQuarter2020Member_documentation_en-US" xlink:label="lab_cnp_ThirdQuarter2020Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Third Quarter 2020</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ThirdQuarter2020Member" xlink:href="cnp-20201231.xsd#cnp_ThirdQuarter2020Member"/>
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    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherCurrentLiabilities_7d9a8aa7-3193-40ce-9ad3-8031dc0a01c9_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherCurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other current liabilities</link:label>
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    <link:label id="lab_cnp_PercentageOnLimitationOfDebtToTotalCapitalizationUnderCovenantInHundredths_aaa9a782-d8a6-4725-9d92-6f9a95fa3971_terseLabel_en-US" xlink:label="lab_cnp_PercentageOnLimitationOfDebtToTotalCapitalizationUnderCovenantInHundredths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Percentage on limitation of debt to total capitalization under covenant (in hundredths)</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock_47879142-7009-4806-8417-ecd3e03ab727_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Subsequent Events [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Subsequent Events [Table Text Block]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSubsequentEventsTextBlock" xlink:to="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember_0aeb59cc-3bf4-4387-8f30-2a84e6ec586f_terseLabel_en-US" xlink:label="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment grade or above [Member]</link:label>
    <link:label id="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember_label_en-US" xlink:label="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Corporate Debt Securities Investment Grade Or Above Member</link:label>
    <link:label id="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember_documentation_en-US" xlink:label="lab_cnp_CorporateDebtSecuritiesInvestmentGradeOrAboveMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This category includes information about debt securities with an investment grade or higher rating issued by a corporate entity with a promise of repayment.</link:label>
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    <link:label id="lab_cnp_VectrenMember_06dea57c-3aba-438c-b80e-ebcd03131299_terseLabel_en-US" xlink:label="lab_cnp_VectrenMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren [Member]</link:label>
    <link:label id="lab_cnp_VectrenMember_label_en-US" xlink:label="lab_cnp_VectrenMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren [Member]</link:label>
    <link:label id="lab_cnp_VectrenMember_documentation_en-US" xlink:label="lab_cnp_VectrenMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vectren [Member]</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_bc8a98f8-e0cc-4cae-ba73-1ed0ec39ddd7_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Outstanding debt balance</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_d0523a5e-353a-450f-be34-e668db76f74d_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Gross</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Long-term Debt, Gross</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount" xlink:to="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions_05fed115-4741-445d-a768-c7de729aa0e2_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Decreases related to tax positions of prior years</link:label>
    <link:label id="lab_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions_label_en-US" xlink:label="lab_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions" xlink:to="lab_us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PreviousDividendorDistributionMember_13761e02-0b71-4252-8df1-032fa6522631_terseLabel_en-US" xlink:label="lab_cnp_PreviousDividendorDistributionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Previous Dividend or Distribution [Member]</link:label>
    <link:label id="lab_cnp_PreviousDividendorDistributionMember_label_en-US" xlink:label="lab_cnp_PreviousDividendorDistributionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Previous Dividend or Distribution [Member]</link:label>
    <link:label id="lab_cnp_PreviousDividendorDistributionMember_documentation_en-US" xlink:label="lab_cnp_PreviousDividendorDistributionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Previous Dividend or Distribution [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PreviousDividendorDistributionMember" xlink:href="cnp-20201231.xsd#cnp_PreviousDividendorDistributionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreviousDividendorDistributionMember" xlink:to="lab_cnp_PreviousDividendorDistributionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContractWithCustomerLiability_47764ed5-9478-4d9a-a54c-a36504bd0ae5_periodStartLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiability" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Opening balance as of December 31, 2019</link:label>
    <link:label id="lab_us-gaap_ContractWithCustomerLiability_42289b17-7ad5-4721-88d9-ab36002af450_periodEndLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiability" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Closing balance as of December 31, 2020</link:label>
    <link:label id="lab_us-gaap_ContractWithCustomerLiability_label_en-US" xlink:label="lab_us-gaap_ContractWithCustomerLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Contract with Customer, Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiability" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContractWithCustomerLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContractWithCustomerLiability" xlink:to="lab_us-gaap_ContractWithCustomerLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_9dac7127-892c-415f-924d-94d2a8e4ecda_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable_c8378fbf-8ead-43b4-a42a-f537370e5b55_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Table]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable" xlink:to="lab_us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionTable" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SeniorNotesDueRange2Member_d59e2b0f-4456-4ef2-b392-b701a906685a_terseLabel_en-US" xlink:label="lab_cnp_SeniorNotesDueRange2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Senior notes&#160;3.55% to 6.625% due 2021 to 2047</link:label>
    <link:label id="lab_cnp_SeniorNotesDueRange2Member_label_en-US" xlink:label="lab_cnp_SeniorNotesDueRange2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Senior Notes Due Range 2 [Member]</link:label>
    <link:label id="lab_cnp_SeniorNotesDueRange2Member_documentation_en-US" xlink:label="lab_cnp_SeniorNotesDueRange2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Senior Notes Due Range 2 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SeniorNotesDueRange2Member" xlink:href="cnp-20201231.xsd#cnp_SeniorNotesDueRange2Member"/>
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    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_41c61439-156a-44fe-8b29-1f3bfde554da_negatedTerseLabel_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Loss (gain) on indexed debt securities</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_label_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Indexed Debt Securities, Gain (Loss)</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_documentation_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This item represents the net total realized and unrealized gain (loss) included in earnings for the period related to indexed debt securities.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_IndexedDebtSecuritiesGainLoss" xlink:href="cnp-20201231.xsd#cnp_IndexedDebtSecuritiesGainLoss"/>
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    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_589b0dec-7085-4719-823e-a49ad916de31_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Size of credit facility</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3_42716f69-11f7-494c-b2f7-886e4094b9a9_terseLabel_en-US" xlink:label="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reclassification of net deferred loss from cash flow hedges (3)</link:label>
    <link:label id="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3_label_en-US" xlink:label="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reclassification of net deferred loss from cash flow hedges (3)</link:label>
    <link:label id="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3_documentation_en-US" xlink:label="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Reclassification of net deferred losses from cash flow hedges to regulatory asset and regulatory liability, before tax</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract_1e0a6462-52d7-4c1c-9ab4-a5f4d6e1c1d7_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Assumptions used to determine net periodic benefit (income) cost</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:to="lab_us-gaap_DefinedBenefitPlanWeightedAverageAssumptionsUsedInCalculatingNetPeriodicBenefitCostAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AwardTypeAxis_afcdfc0b-fd14-46d4-b598-1c8dd6977e56_terseLabel_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Schedule of Share-based Compensation Arrangement by Share-based Payment Award, Award Type and Plan Name [Axis]</link:label>
    <link:label id="lab_us-gaap_AwardTypeAxis_f5e9e324-60cb-41d6-b0cf-29e2d6bc6032_verboseLabel_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Award Type [Axis]</link:label>
    <link:label id="lab_us-gaap_AwardTypeAxis_label_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Award Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AwardTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AwardTypeAxis" xlink:to="lab_us-gaap_AwardTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_7cbca505-3679-46ff-9eec-9c3851647dfc_terseLabel_en-US" xlink:label="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantees &amp; Product Warranties [Abstract]</link:label>
    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_label_en-US" xlink:label="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Performance Guarantees &amp; Product Warranties [Abstract]</link:label>
    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_documentation_en-US" xlink:label="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Performance Guarantees &amp; Product Warranties [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:href="cnp-20201231.xsd#cnp_PerformanceGuaranteesProductWarrantiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:to="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate_168c920f-50b9-4465-a786-082395d66bb9_verboseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Discount rate</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Defined Benefit Plan, Assumptions Used Calculating Net Periodic Benefit Cost, Discount Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:to="lab_us-gaap_DefinedBenefitPlanAssumptionsUsedCalculatingNetPeriodicBenefitCostDiscountRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_4b487140-11ff-4483-9be3-29dfe92fb325_terseLabel_en-US" xlink:label="lab_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prepaid Expenses and Other Current Assets [Member]</link:label>
    <link:label id="lab_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_label_en-US" xlink:label="lab_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Prepaid Expenses and Other Current Assets [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember" xlink:to="lab_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue_d552f148-4f40-467d-a3bf-dd0f7fef2592_terseLabel_en-US" xlink:label="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subordinated note cash exchangeable percentage of fair value</link:label>
    <link:label id="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue_label_en-US" xlink:label="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subordinated Note Cash Exchangeable Percentage Of Fair Value</link:label>
    <link:label id="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue_documentation_en-US" xlink:label="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The percentage of the fair value of the referenced TW Common shares attributable to each note and the percentage of composite fair value each note can be exchanged for cash.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:href="cnp-20201231.xsd#cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:to="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_54b62207-3fdc-4432-b287-ab2bf4afe514_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization of deferred financing costs</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_label_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amortization of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AmortizationOfFinancingCosts" xlink:to="lab_us-gaap_AmortizationOfFinancingCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_660264d0-82cd-466c-87d0-923d504430aa_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other assets</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested_11b96ef5-18c8-4993-893e-d6d115caa7ee_terseLabel_en-US" xlink:label="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Nonvested</link:label>
    <link:label id="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested_label_en-US" xlink:label="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Nonvested</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested" xlink:to="lab_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueNonvested" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_DistributionToZENSHolders_74f0edcd-8ae7-4374-a42e-1718921636ea_negatedTerseLabel_en-US" xlink:label="lab_cnp_DistributionToZENSHolders" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distribution to ZENS holders</link:label>
    <link:label id="lab_cnp_DistributionToZENSHolders_label_en-US" xlink:label="lab_cnp_DistributionToZENSHolders" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distribution To ZENS Holders</link:label>
    <link:label id="lab_cnp_DistributionToZENSHolders_documentation_en-US" xlink:label="lab_cnp_DistributionToZENSHolders" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This represents a distribution of cash to ZENS holders during the period in accordance with the terms of the ZENS.</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DistributionToZENSHolders" xlink:to="lab_cnp_DistributionToZENSHolders" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths_c63f0184-969f-4984-afb5-ebdf205989eb_verboseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">2021</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Purchase Obligation, to be Paid, Year One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PurchaseObligationDueInNextTwelveMonths"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:to="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InventoryRawMaterialsAndSupplies_c2198727-3813-4334-ac02-66c9893e4975_terseLabel_en-US" xlink:label="lab_us-gaap_InventoryRawMaterialsAndSupplies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Materials and supplies</link:label>
    <link:label id="lab_us-gaap_InventoryRawMaterialsAndSupplies_label_en-US" xlink:label="lab_us-gaap_InventoryRawMaterialsAndSupplies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Inventory, Raw Materials and Supplies, Gross</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InventoryRawMaterialsAndSupplies" xlink:to="lab_us-gaap_InventoryRawMaterialsAndSupplies" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RetainedEarningsMember_0a823795-c19d-4cbe-9052-a1b6c925137c_terseLabel_en-US" xlink:label="lab_us-gaap_RetainedEarningsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retained Earnings [Member]</link:label>
    <link:label id="lab_us-gaap_RetainedEarningsMember_label_en-US" xlink:label="lab_us-gaap_RetainedEarningsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retained Earnings [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetainedEarningsMember" xlink:to="lab_us-gaap_RetainedEarningsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_ee4d5013-5e65-4b70-adce-560f74dcb880_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred stock outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_cbf79ad2-2b5f-4501-b1b3-8df29d3a0c43_periodStartLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, beginning of year</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_b320e46a-5bc7-419f-bba2-b0e452a7b0ef_periodEndLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance, end of year</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Preferred Stock, Shares Outstanding</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockSharesOutstanding" xlink:to="lab_us-gaap_PreferredStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_7a18cac4-547d-4130-9c0b-c365977ff36a_terseLabel_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net affiliate service charges (billings)</link:label>
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_label_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net affiliate service charges (billings)</link:label>
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_documentation_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of net service charges from (billings to) related party during the period, excluding transactions that are eliminated in consolidated or combined financial statements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Netaffiliateservicechargesbillings" xlink:href="cnp-20201231.xsd#cnp_Netaffiliateservicechargesbillings"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Netaffiliateservicechargesbillings" xlink:to="lab_cnp_Netaffiliateservicechargesbillings" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_2fecba99-678d-41d4-8e3c-870f69f3f4a3_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:to="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetRetirementObligationRevisionOfEstimate_e74d1ee3-a06a-4d81-a791-7c901273d9c9_terseLabel_en-US" xlink:label="lab_us-gaap_AssetRetirementObligationRevisionOfEstimate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Revisions in estimates (2)</link:label>
    <link:label id="lab_us-gaap_AssetRetirementObligationRevisionOfEstimate_label_en-US" xlink:label="lab_us-gaap_AssetRetirementObligationRevisionOfEstimate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Asset Retirement Obligation, Revision of Estimate</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetRetirementObligationRevisionOfEstimate" xlink:to="lab_us-gaap_AssetRetirementObligationRevisionOfEstimate" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_PensionPlansDefinedBenefitMember_6d231039-652f-4efc-a0ec-8d088c3e320f_terseLabel_en-US" xlink:label="lab_us-gaap_PensionPlansDefinedBenefitMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Pension Plan [Member]</link:label>
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    <link:label id="lab_cnp_NaturalGasExpensesMember_86216038-4e98-4229-825a-d324702f183c_terseLabel_en-US" xlink:label="lab_cnp_NaturalGasExpensesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Natural Gas Expenses [Member]</link:label>
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    <link:label id="lab_cnp_NaturalGasExpensesMember_documentation_en-US" xlink:label="lab_cnp_NaturalGasExpensesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Represents natural gas expenses, including transportation and storage costs.</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesCurrentAbstract_2a97af8b-57cf-4524-a1e4-52beccf3167f_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Current Liabilities:</link:label>
    <link:label id="lab_us-gaap_LiabilitiesCurrentAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Liabilities, Current [Abstract]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract" xlink:to="lab_us-gaap_LiabilitiesCurrentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_c84fd65d-ce48-492f-89f1-18d437eaa4cd_terseLabel_en-US" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Federal statutory income tax rate</link:label>
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperationsAbstract_a23b1f75-949a-4395-a09e-d1e79c20703b_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cash Flows from Financing Activities:</link:label>
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    <link:label id="lab_us-gaap_AssetRetirementObligationAccretionExpense_31598341-dd53-42f5-a147-9eed0fe2cb04_terseLabel_en-US" xlink:label="lab_us-gaap_AssetRetirementObligationAccretionExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accretion expense (1)</link:label>
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    <link:label id="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_7b4a2660-3c12-4a82-b63c-8194006747ba_terseLabel_en-US" xlink:label="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">New Accounting Pronouncements</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromLinesOfCredit_e960b1ea-ef86-4b56-adf0-fbd67c34547a_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Proceeds from Lines of Credit</link:label>
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    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_04eb35db-15ec-48bf-8164-041b6d083bba_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
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    <link:label id="lab_us-gaap_EarningsPerShareBasicAbstract_c984f47f-513f-4257-96cd-451aa4f225d2_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasicAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Earnings Per Share, Basic [Abstract]</link:label>
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    <link:label id="lab_us-gaap_ShortTermInvestments_645c9edc-371c-4ee9-b7d2-5bb8baefaa88_terseLabel_en-US" xlink:label="lab_us-gaap_ShortTermInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short-term Investments</link:label>
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