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    <link:label id="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationafterDisposalPipelineconstructionandrepaircharges_df37e5d9-d340-4703-97cb-d02735fed27a_verboseLabel_en-US" xlink:label="lab_cnp_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationafterDisposalPipelineconstructionandrepaircharges" 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">Pipeline construction and repair services charges</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-20200930.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_ChangeinAccountsReceivableRollForward_2992470b-abd8-4eae-a3d1-978eacd2c0e0_terseLabel_en-US" xlink:label="lab_cnp_ChangeinAccountsReceivableRollForward" xlink: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 Accounts Receivable [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinAccountsReceivableRollForward_label_en-US" xlink:label="lab_cnp_ChangeinAccountsReceivableRollForward" xlink: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 Accounts Receivable [Roll Forward]</link:label>
    <link:label id="lab_cnp_ChangeinAccountsReceivableRollForward_documentation_en-US" xlink:label="lab_cnp_ChangeinAccountsReceivableRollForward" 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 Accounts Receivable [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ChangeinAccountsReceivableRollForward" xlink:href="cnp-20200930.xsd#cnp_ChangeinAccountsReceivableRollForward"/>
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    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt_2d896bc6-5e1e-4ddd-ab47-21093bed647f_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, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink: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 Long-term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CapitalExpenditureDiscontinuedOperations_7ef10dcd-1b25-49ca-9541-5399deba7b32_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>
    <link:label id="lab_us-gaap_CapitalExpenditureDiscontinuedOperations_label_en-US" xlink:label="lab_us-gaap_CapitalExpenditureDiscontinuedOperations" xlink: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 Expenditure, Discontinued Operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalExpenditureDiscontinuedOperations" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CapitalExpenditureDiscontinuedOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalExpenditureDiscontinuedOperations" xlink:to="lab_us-gaap_CapitalExpenditureDiscontinuedOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesCurrent_bf215c9f-b3a5-4c2d-88b1-1d99c50e9710_totalLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrent" 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 liabilities</link:label>
    <link:label id="lab_us-gaap_LiabilitiesCurrent_72a8831f-5466-44bf-8b04-b5f1c75094fa_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrent" xlink: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_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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesCurrent"/>
    <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"/>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_baca18ca-e3d2-48f8-ad49-d59fceac35b7_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 expenses 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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="lab_us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_VariableRateDomain_73976160-7aeb-4a05-b92c-d2af1daefd62_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink: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 [Domain]</link:label>
    <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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateDomain" xlink:to="lab_us-gaap_VariableRateDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsAbstract_3fd654ec-6ab9-4838-9870-bc2baacead47_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink: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 [Abstract]</link:label>
    <link:label id="lab_us-gaap_AssetsAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink: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 [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsAbstract" xlink:to="lab_us-gaap_AssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_e964c1fe-22f0-4493-9d60-825a45ee73d1_terseLabel_en-US" xlink:label="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink: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, Name [Axis]</link:label>
    <link:label id="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_label_en-US" xlink:label="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment, Name [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:to="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_c179356f-5939-4276-b0c3-ba6f03229d92_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink: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_StockIssuedDuringPeriodValueShareBasedCompensation_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink: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, Value, Share-based Payment Arrangement, after Forfeiture</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DueToRelatedPartiesCurrent_bc35b59b-eeb1-4088-ad9e-90667410536a_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 and notes payable&#8211;affiliated companies</link:label>
    <link:label id="lab_us-gaap_DueToRelatedPartiesCurrent_label_en-US" xlink:label="lab_us-gaap_DueToRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Due to Related Parties, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DueToRelatedPartiesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DueToRelatedPartiesCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DueToRelatedPartiesCurrent" xlink:to="lab_us-gaap_DueToRelatedPartiesCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_A9.15FirstMortgageBondsdue2021Member_5f27bacf-6a5e-448e-9541-1231db4ecf7d_terseLabel_en-US" xlink:label="lab_cnp_A9.15FirstMortgageBondsdue2021Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">9.15% First Mortgage Bonds due 2021 [Member]</link:label>
    <link:label id="lab_cnp_A9.15FirstMortgageBondsdue2021Member_label_en-US" xlink:label="lab_cnp_A9.15FirstMortgageBondsdue2021Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">9.15% First Mortgage Bonds due 2021 [Member]</link:label>
    <link:label id="lab_cnp_A9.15FirstMortgageBondsdue2021Member_documentation_en-US" xlink:label="lab_cnp_A9.15FirstMortgageBondsdue2021Member" 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">9.15% First Mortgage Bonds due 2021 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_A9.15FirstMortgageBondsdue2021Member" xlink:href="cnp-20200930.xsd#cnp_A9.15FirstMortgageBondsdue2021Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_A9.15FirstMortgageBondsdue2021Member" xlink:to="lab_cnp_A9.15FirstMortgageBondsdue2021Member" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ChicagoStockExchangeMember_3cebfb48-74c6-47af-8a30-dbd8f64776b2_terseLabel_en-US" xlink:label="lab_cnp_ChicagoStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Chicago Stock Exchange [Member]</link:label>
    <link:label id="lab_cnp_ChicagoStockExchangeMember_label_en-US" xlink:label="lab_cnp_ChicagoStockExchangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Chicago Stock Exchange [Member]</link:label>
    <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>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ChicagoStockExchangeMember" xlink:href="cnp-20200930.xsd#cnp_ChicagoStockExchangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ChicagoStockExchangeMember" xlink:to="lab_cnp_ChicagoStockExchangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LeaseIncome_1daadfcb-87e8-4ee2-aa2f-94214b0de532_terseLabel_en-US" xlink:label="lab_us-gaap_LeaseIncome" xlink: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 Income</link:label>
    <link:label id="lab_us-gaap_LeaseIncome_label_en-US" xlink:label="lab_us-gaap_LeaseIncome" xlink: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 Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseIncome" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeaseIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LeaseIncome" xlink:to="lab_us-gaap_LeaseIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_424873ed-440b-411d-9a53-bda8146cc03b_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</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionPurchasesFromRelatedParty_187c510b-e3de-4b54-8bf0-457c21a52415_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</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>
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    <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"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock"/>
    <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"/>
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    <link:label id="lab_us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_c3ea5c3f-5d1a-4636-a35d-9ac0c06d1c7d_terseLabel_en-US" xlink:label="lab_us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Undistributed earnings allocated to preferred shareholders (1)</link:label>
    <link:label id="lab_us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_label_en-US" xlink:label="lab_us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Undistributed Earnings (Loss) Allocated to Participating Securities, Basic</link:label>
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    <link:label id="lab_cnp_ChangeinOtherAccruedUnbilledRevenuesRollForward_23d47075-29bc-4370-a1e9-f86e6e83278a_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>
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    <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-20200930.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_GuaranteeObligationsMaximumExposure_460eb058-2634-4df6-bf0a-12f2a3400de0_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>
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    <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_PreferredStockValue_ff5d2630-6e74-4b12-b01f-9674ff795e0f_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, $0.01 par value</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_us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare_2f4c4c26-fbf4-48c1-b01c-63d2f5f41216_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_ManagementRightsOwnershipPercentage_f264e548-eb17-4951-af10-8e6bb8fe649e_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-20200930.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_d5dc6ea2-3751-42b3-8a84-7676893fa1a8_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_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_90bf7c2c-7afc-4c20-86ea-7699d8a5b0dc_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_a6e23d1b-bea3-4e2b-92a8-e41d77e8fa12_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, Par or Stated Value Per Share</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_54043073-f863-415b-a34b-e2cddfaa8627_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>
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    <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-20200930.xsd#cnp_BenefitPlanContributionsTableTextBlock"/>
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    <link:label id="lab_us-gaap_OtherLiabilitiesNoncurrent_fa319046-e418-46f9-a7bf-5b35f0a3fbab_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_StatementOperatingActivitiesSegmentAxis_d1ad49fa-0f44-4771-8837-9504aefd2b7a_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_3230c456-bc15-4233-a574-90be3af5d7c0_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_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_ebdd3649-3ab5-4883-b61a-9c8812a377f4_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-20200930.xsd#cnp_PercentageReductionofDividendorDistributionAmount"/>
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    <link:label id="lab_us-gaap_UnbilledReceivablesCurrent_0333882d-29fc-4f0a-b25f-a8b7a5380bea_terseLabel_en-US" xlink:label="lab_us-gaap_UnbilledReceivablesCurrent" xlink: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, less bad debt reserve</link:label>
    <link:label id="lab_us-gaap_UnbilledReceivablesCurrent_label_en-US" xlink:label="lab_us-gaap_UnbilledReceivablesCurrent" xlink: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 Receivables, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnbilledReceivablesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnbilledReceivablesCurrent"/>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PurchaseObligationDueInFourthYear" xlink:to="lab_us-gaap_PurchaseObligationDueInFourthYear" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_9d07f6ec-c0ac-4746-bd21-92c8e29270a1_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink: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 Measurement [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink: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 Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:to="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromShortTermDebt_aaeed7e5-e068-4e23-a595-1b372b0d5063_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromShortTermDebt" xlink: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 in short-term borrowings, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromShortTermDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromShortTermDebt" xlink: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 Short-term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromShortTermDebt" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromShortTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromShortTermDebt" xlink:to="lab_us-gaap_ProceedsFromShortTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense_231032aa-fac3-43b1-a9fa-bb055e3107b6_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense" xlink: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 expense</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense" xlink: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, Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationIntraEntityAmountsDiscontinuedOperationAfterDisposalExpense"/>
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    <link:label id="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid_667d8ac4-929b-4694-9b54-e7314da81607_terseLabel_en-US" xlink:label="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid" xlink: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_us-gaap_CapitalExpendituresIncurredButNotYetPaid_label_en-US" xlink:label="lab_us-gaap_CapitalExpendituresIncurredButNotYetPaid" xlink: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 Incurred but Not yet Paid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalExpendituresIncurredButNotYetPaid" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CapitalExpendituresIncurredButNotYetPaid"/>
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    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_b1717696-70be-4650-a0d6-f549208a50b9_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink: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 Events (CenterPoint Energy) [Text Block]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_label_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink: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 Events [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_SubsequentEventsTextBlock" xlink:to="lab_us-gaap_SubsequentEventsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_InventoryWritedowndiscontinuedoperations_81bcfad5-f62b-4240-8105-acb3b6feebf5_terseLabel_en-US" xlink:label="lab_cnp_InventoryWritedowndiscontinuedoperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Write-down of natural gas inventory</link:label>
    <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-20200930.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_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_714d7eb9-6a18-49aa-ad98-bf6e4f36beb8_terseLabel_en-US" xlink:label="lab_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Bad debt reserve</link:label>
    <link:label id="lab_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_label_en-US" xlink:label="lab_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink: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, Allowance for Credit Loss, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:to="lab_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_InterestOnTransitionAndSystemRestorationBonds_670c2081-e5ef-4afe-9837-f0333526d902_negatedLabel_en-US" xlink:label="lab_cnp_InterestOnTransitionAndSystemRestorationBonds" 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">Interest expense on Securitization Bonds</link:label>
    <link:label id="lab_cnp_InterestOnTransitionAndSystemRestorationBonds_label_en-US" xlink:label="lab_cnp_InterestOnTransitionAndSystemRestorationBonds" xlink: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 on Transition and System Restoration Bonds</link:label>
    <link:label id="lab_cnp_InterestOnTransitionAndSystemRestorationBonds_documentation_en-US" xlink:label="lab_cnp_InterestOnTransitionAndSystemRestorationBonds" 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 and debt related expenses associated with transition and system restoration bonds.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_InterestOnTransitionAndSystemRestorationBonds" xlink:href="cnp-20200930.xsd#cnp_InterestOnTransitionAndSystemRestorationBonds"/>
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    <link:label id="lab_us-gaap_IncomeStatementLocationDomain_4b668288-9a3d-4b6b-88a4-6b425c32006c_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationDomain" xlink: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 Location [Domain]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementLocationDomain_label_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationDomain" xlink: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 Location [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementLocationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementLocationDomain" xlink:to="lab_us-gaap_IncomeStatementLocationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Accountspayablerelatedtocapitalexpendituresdiscontinuedoperations_b9199767-24c8-4bea-b7b9-4ac45c0d7ca2_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-20200930.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_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent_a73b4519-3822-4acf-a6e7-51ebe5cfc8eb_terseLabel_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">VIE Securitization Bonds, net</link:label>
    <link:label id="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent_label_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Transition And System Restoration Bonds Long Term Debt Non Current</link:label>
    <link:label id="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent_documentation_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent" 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">Carrying value as of the balance sheet date of transition and system restoration bond debt (with maturities initially due after one year or beyond the operating cycle if longer), excluding current portion.</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent" xlink:to="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Unprotectedexcessdeferredincometax_fd944a0b-d8bc-4b3d-9e8f-f002ff06166d_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>
    <link:label id="lab_cnp_Unprotectedexcessdeferredincometax_label_en-US" xlink:label="lab_cnp_Unprotectedexcessdeferredincometax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unprotected excess deferred income tax</link:label>
    <link:label id="lab_cnp_Unprotectedexcessdeferredincometax_documentation_en-US" xlink:label="lab_cnp_Unprotectedexcessdeferredincometax" 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">Unprotected excess deferred income tax resulting from the TCJA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Unprotectedexcessdeferredincometax" xlink:href="cnp-20200930.xsd#cnp_Unprotectedexcessdeferredincometax"/>
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    <link:label id="lab_us-gaap_IncrementalCommonSharesAttributableToConversionOfPreferredStock_dffae01d-2559-4d2c-bdbb-66c19d4d30a7_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_UnusualRiskOrUncertaintyNatureDomain_1a21ce9c-b77a-4eaa-a294-7e73fe5cc50e_terseLabel_en-US" xlink:label="lab_us-gaap_UnusualRiskOrUncertaintyNatureDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unusual Risk or Uncertainty, Nature [Domain]</link:label>
    <link:label id="lab_us-gaap_UnusualRiskOrUncertaintyNatureDomain_label_en-US" xlink:label="lab_us-gaap_UnusualRiskOrUncertaintyNatureDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unusual Risk or Uncertainty, Nature [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnusualRiskOrUncertaintyNatureDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnusualRiskOrUncertaintyNatureDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnusualRiskOrUncertaintyNatureDomain" xlink:to="lab_us-gaap_UnusualRiskOrUncertaintyNatureDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_ExchangeDomain_ca6d3cdc-92b2-40b7-aadc-bddf825e7993_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"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_ExchangeDomain" xlink:to="lab_dei_ExchangeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherAssetsNoncurrent_cb978de1-52da-4b61-ab23-01fb5bdc4e3d_terseLabel_en-US" xlink:label="lab_us-gaap_OtherAssetsNoncurrent" xlink: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:label id="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_9f8ed935-60e2-4719-a711-44fa0e906b26_totalLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" 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) from Continuing Operations before Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink: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 before Income Taxes, Noncontrolling Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:to="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_ERCOTLoanCOVID19ERP_d1485215-92b1-4653-a4be-5250c5bf9434_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>
    <link:label id="lab_cnp_ERCOTLoanCOVID19ERP_label_en-US" xlink:label="lab_cnp_ERCOTLoanCOVID19ERP" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">ERCOT Loan, COVID-19 ERP</link:label>
    <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>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_ERCOTLoanCOVID19ERP" xlink:href="cnp-20200930.xsd#cnp_ERCOTLoanCOVID19ERP"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_ERCOTLoanCOVID19ERP" xlink:to="lab_cnp_ERCOTLoanCOVID19ERP" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Numberofdaysuntilcommercialpapermaturity_09d28168-d36f-43e7-bc63-fb5872ba3728_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>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Numberofdaysuntilcommercialpapermaturity" xlink:href="cnp-20200930.xsd#cnp_Numberofdaysuntilcommercialpapermaturity"/>
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    <link:label id="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_2703e9ef-c14d-4579-902c-58666e020e27_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" 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">Acquisitions, net of cash acquired</link:label>
    <link:label id="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_label_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink: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 Businesses, Net of Cash Acquired</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:to="lab_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_f3e701e3-d580-4b68-93fa-fd593500a0f1_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>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink: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 Authorized</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorized" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesAuthorized" xlink:to="lab_us-gaap_CommonStockSharesAuthorized" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord_8a338674-a543-4069-9611-7f7f31985ba6_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">Quarterly cash distribution, date of record</link:label>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord_label_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink: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, Date of Record</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DistributionMadeToLimitedPartnerDateOfRecord"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_1a46f311-6a95-46e1-9f77-94888b3e84a0_terseLabel_en-US" xlink:label="lab_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements" xlink: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 (4)</link:label>
    <link:label id="lab_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_label_en-US" xlink:label="lab_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Incremental Common Shares Attributable to Dilutive Effect of Share-based Payment Arrangements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements" xlink:to="lab_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SiteContingencyYearstoResolveContingency_2ffa6883-a07b-4534-a44e-33b4d2981f6a_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>
    <link:label id="lab_cnp_SiteContingencyYearstoResolveContingency_label_en-US" xlink:label="lab_cnp_SiteContingencyYearstoResolveContingency" xlink: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, Years to Resolve Contingency</link:label>
    <link:label id="lab_cnp_SiteContingencyYearstoResolveContingency_documentation_en-US" xlink:label="lab_cnp_SiteContingencyYearstoResolveContingency" 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 estimated years necessary to resolve the contingency.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SiteContingencyYearstoResolveContingency" xlink:href="cnp-20200930.xsd#cnp_SiteContingencyYearstoResolveContingency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SiteContingencyYearstoResolveContingency" xlink:to="lab_cnp_SiteContingencyYearstoResolveContingency" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentGross_1e1207ac-7e91-423b-bee4-8c5b339283ba_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</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentGross_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentGross" xlink: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, Gross</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentGross" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_b7de82e6-902a-4716-9785-e4bbde8390d9_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink: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 Segment Reporting Information, by Segment [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink: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 Segment Reporting Information, by Segment [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink:to="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_657a06cb-4718-4e0f-aa97-e94cd8c73b37_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink: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 [Abstract]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink: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 [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementAbstract" xlink:to="lab_us-gaap_IncomeStatementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccumulatedOtherComprehensiveIncomeMember_6e768f58-13c6-4e0d-97d6-476459eccd2e_terseLabel_en-US" xlink:label="lab_us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">AOCI Attributable to Parent [Member]</link:label>
    <link:label id="lab_us-gaap_AccumulatedOtherComprehensiveIncomeMember_label_en-US" xlink:label="lab_us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">AOCI Attributable to Parent [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:to="lab_us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncentiveDistributionDistributionPerUnit_0f16f81d-7476-447f-93d7-5f1b08f33401_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveDistributionDistributionPerUnit" xlink: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 per unit</link:label>
    <link:label id="lab_us-gaap_IncentiveDistributionDistributionPerUnit_label_en-US" xlink:label="lab_us-gaap_IncentiveDistributionDistributionPerUnit" xlink: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, Distribution Per Unit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncentiveDistributionDistributionPerUnit" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncentiveDistributionDistributionPerUnit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveDistributionDistributionPerUnit" xlink:to="lab_us-gaap_IncentiveDistributionDistributionPerUnit" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment_173843ec-da15-4aa5-94fa-b88c5a07b206_terseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" xlink: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's Impairment on an equity method investment</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment_label_en-US" xlink:label="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" xlink: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's Impairment on an equity method investment</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" 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's Impairment on an equity method investment (Southeast Supply Header) SESH</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" xlink:href="cnp-20200930.xsd#cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" xlink:to="lab_cnp_EquityMethodInvestmentsImpairmentOnAnEquityMethodInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_SecondQuarter2019Member_9a170e08-f5e6-4898-8164-b5bdc5ec1b25_terseLabel_en-US" xlink:label="lab_cnp_SecondQuarter2019Member" xlink: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 2019 [Member]</link:label>
    <link:label id="lab_cnp_SecondQuarter2019Member_label_en-US" xlink:label="lab_cnp_SecondQuarter2019Member" xlink: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 2019 [Member]</link:label>
    <link:label id="lab_cnp_SecondQuarter2019Member_documentation_en-US" xlink:label="lab_cnp_SecondQuarter2019Member" 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 2019 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SecondQuarter2019Member" xlink:href="cnp-20200930.xsd#cnp_SecondQuarter2019Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SecondQuarter2019Member" xlink:to="lab_cnp_SecondQuarter2019Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_bcb00d87-2a74-48bb-8ca0-37f18e2aa3cd_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink: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 Segment Reporting Information, by Segment [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink: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 Segment Reporting Information, by Segment [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink:to="lab_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember_674ccb0a-c4c6-4fe7-acac-e0915db85fd9_terseLabel_en-US" xlink:label="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember" xlink: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 Interest Entity, Primary Beneficiary [Member]</link:label>
    <link:label id="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember_label_en-US" xlink:label="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember" xlink: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, Primary Beneficiary [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableInterestEntityPrimaryBeneficiaryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember" xlink:to="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_eeb6a58e-1db9-49d6-acf9-938237c5c5e6_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink: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 [Table]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_label_en-US" xlink:label="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink: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 [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink:to="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract_72da346c-e11a-4d04-8440-fac8a4ee6b97_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract" xlink: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 and Disposal of Discontinued Operations, Net of Tax, Per Diluted Share [Abstract]</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract" xlink: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 and Disposal of Discontinued Operations, Net of Tax, Per Diluted Share [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromDiscontinuedOperationsAndDisposalOfDiscontinuedOperationsNetOfTaxPerDilutedShareAbstract"/>
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    <link:label id="lab_cnp_BasisDifferenceAccretionGain_45a90fbd-bfeb-4166-98f8-766cab614712_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>
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    <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>
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    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_6169b0a8-0caa-4632-9bf4-965486ae9b15_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>
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    <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>
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    <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_srt_ConsolidatedEntitiesAxis_af3e2f32-8744-4140-abb2-b265cd56c40d_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_64ab9c2d-2653-492c-a63f-571085c6e310_terseLabel_en-US" xlink:label="lab_cnp_FairValueAssetsMeasuredOnRecurringBasisCorporateEquities" xlink: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 equities</link:label>
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    <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-20200930.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_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract_fc71fdb6-589b-4744-b8ba-33e912d077cd_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Lived Intangible Assets Amortization Expense Maturity Schedule [Abstract]</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract" xlink: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, Amortization Expense, Maturity Schedule [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ConsolidationItemsDomain_f2236e13-9f86-44e6-a8bc-64da6c856709_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_a0ae55b3-9f0a-49b4-a152-faa2c228c70f_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_label_en-US" xlink:label="lab_cnp_SubordinatedDebtZENSMember" xlink: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 Debt ZENS Member</link:label>
    <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>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_SubordinatedDebtZENSMember" xlink:href="cnp-20200930.xsd#cnp_SubordinatedDebtZENSMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SubordinatedDebtZENSMember" xlink:to="lab_cnp_SubordinatedDebtZENSMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_3f241602-a5d2-412a-9699-111b2d6972d8_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>
    <link:label id="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock" xlink: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 and Intangible Assets Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock" xlink:to="lab_us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DueFromRelatedPartiesCurrent_ac8a277a-764c-4e13-8bce-00c01266df0a_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&#8211;affiliated companies</link:label>
    <link:label id="lab_us-gaap_DueFromRelatedPartiesCurrent_label_en-US" xlink:label="lab_us-gaap_DueFromRelatedPartiesCurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Due from Related Parties, Current</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DueFromRelatedPartiesCurrent" xlink:to="lab_us-gaap_DueFromRelatedPartiesCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_GuaranteeExposureReplacedByThirdParty_a0727293-b60d-4c7a-b714-d5636fe352ad_terseLabel_en-US" xlink:label="lab_cnp_GuaranteeExposureReplacedByThirdParty" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantee exposure replaced by third party</link:label>
    <link:label id="lab_cnp_GuaranteeExposureReplacedByThirdParty_label_en-US" xlink:label="lab_cnp_GuaranteeExposureReplacedByThirdParty" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Guarantee exposure replaced by third party</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_cnp_GuaranteeExposureReplacedByThirdParty" xlink:href="cnp-20200930.xsd#cnp_GuaranteeExposureReplacedByThirdParty"/>
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    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentAbstract_df139c03-43cf-43fc-904d-a01bcced4d2a_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:</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentAbstract_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentAbstract" xlink: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 [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAbstract" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_c7434665-14b4-4760-af39-14355cf62501_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>
    <link:label id="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_label_en-US" xlink:label="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink: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, Capital Shares Reserved for Future Issuance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockCapitalSharesReservedForFutureIssuance"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink:to="lab_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_IncomeLossFromEquityMethodInvestments_445b8d0a-e2ca-4a25-a3ad-cf81a814efea_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromEquityMethodInvestments" xlink: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 in earnings (loss) of unconsolidated affiliates, net</link:label>
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    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_013cfe97-c984-46ab-bba7-ab6a5a22b8f2_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>
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    <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>
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    <link:label id="lab_us-gaap_HedgingDesignationAxis_2f31e4bc-e99a-4561-a5f0-a8b593c4fdc6_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"/>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsNotesAndLoansReceivableNet_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsNotesAndLoansReceivableNet" xlink: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, Accounts, Notes and Loans Receivable, Net</link:label>
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    <link:label id="lab_dei_EntityDomain_4e4171b1-3511-43da-9d46-0399c5034ab6_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>
    <link:label id="lab_dei_EntityDomain_label_en-US" xlink:label="lab_dei_EntityDomain" xlink: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 [Domain]</link:label>
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    <link:label id="lab_cnp_EnableMidstreamPartnersMember_471d1b87-e858-443c-8f29-4e56ffcf45d8_terseLabel_en-US" xlink:label="lab_cnp_EnableMidstreamPartnersMember" xlink: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 Midstream Partners [Member]</link:label>
    <link:label id="lab_cnp_EnableMidstreamPartnersMember_label_en-US" xlink:label="lab_cnp_EnableMidstreamPartnersMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Enable Midstream Partners [Member]</link:label>
    <link:label id="lab_cnp_EnableMidstreamPartnersMember_documentation_en-US" xlink:label="lab_cnp_EnableMidstreamPartnersMember" 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 Midstream Partners, LP</link:label>
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    <link:label id="lab_us-gaap_DiscontinuedOperationAdditionalDisclosuresAbstract_49e5962a-6bf8-41ac-a855-8a4f43449a77_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationAdditionalDisclosuresAbstract" xlink: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, Additional Disclosures [Abstract]</link:label>
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    <link:label id="lab_us-gaap_GoodwillLineItems_b2c855db-f7a5-4d5d-aeea-403fcd60825d_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillLineItems" xlink: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 [Line Items]</link:label>
    <link:label id="lab_us-gaap_GoodwillLineItems_label_en-US" xlink:label="lab_us-gaap_GoodwillLineItems" xlink: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 [Line Items]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GoodwillLineItems" xlink:to="lab_us-gaap_GoodwillLineItems" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_PensionContributions_label_en-US" xlink:label="lab_us-gaap_PensionContributions" xlink: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 for Pension Benefits</link:label>
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    <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_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_d4d7ebc2-73dc-4fde-bb74-26aa602e7e01_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink: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 held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_601238ac-710f-4a39-9a35-70307774c142_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_cnp_NaturalGasDistributionMember_564516bf-e92c-46af-9275-d410fa17208b_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 [Member]</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-20200930.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_9167040f-33e6-4391-b4e8-4da1ca6e09b0_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 [Member]</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-20200930.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_2ed4bec7-b512-4789-a26d-d33dbcd5862a_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_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_a96e28ac-aa94-4998-94e2-18f8cd4be5c5_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_a56345ca-c9d1-4776-b95a-c32055dbc115_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-20200930.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_bbebd98e-202f-4a8f-893a-cca271c77d3c_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_AssetsFairValueDisclosureAbstract_8651686b-17ab-4758-a9eb-f93f03421b38_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_AssetsNoncurrent_f3f66bcf-f44e-4159-9d16-dfcf6988b8d8_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_SiteContingencyLossExposure_49f30fc1-7966-4ede-9aba-4599d37b2ecf_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-20200930.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_DiscontinuedOperationContinuingInvolvementAbstract_a623de05-8d76-49ad-b66b-74803b26a058_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_us-gaap_PaymentsOfDividendsCommonStock_e69f8b3f-e26b-4eed-958e-e542a7c46449_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" 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">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_Receivablefromsaleofdisposalgroup_8a73a5dc-692a-4996-a296-c05b3ca389b6_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 for working capital and other adjustments from sale of disposal group</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Receivablefromsaleofdisposalgroup" xlink:href="cnp-20200930.xsd#cnp_Receivablefromsaleofdisposalgroup"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Receivablefromsaleofdisposalgroup" xlink:to="lab_cnp_Receivablefromsaleofdisposalgroup" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_3cdb2409-391f-4ccc-85a6-d4e97a963d2c_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink: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 three months of 2020</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink: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, Remainder of Fiscal Year</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink:to="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_e9591d4b-bf6e-4f79-b59d-33efb05a880b_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_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_43be9465-8af1-4195-aed4-e06fbd71fc1c_verboseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear" 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">Record Date</link:label>
    <link:label id="lab_us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_9eb70c55-5602-47e6-aa99-30b202053c22_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">Dividends Payable, Date of Record</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_511bffa4-9f10-4417-a231-7540a1afe1eb_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">Preferred stock dividend requirement</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact_2274d59b-4429-453e-a088-b7dd97a87b8d_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsIncomeStatementImpact" 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 dividend requirement</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_335bb66b-a1ab-4553-85ca-d9edf2d0b9dc_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DividendsPreferredStockCash" 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">Preferred Stock dividends declared (see Note 19)</link:label>
    <link:label id="lab_us-gaap_DividendsPreferredStockCash_8626084c-7717-4967-b214-8008d62e8386_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">Total dividends paid</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"/>
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    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_100aa76d-6a8d-4f8f-ad82-78c3053bf8c3_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">Shares Issued, Price Per Share</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_63919e90-4a07-41b4-9af0-b26ed3ceb04d_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>
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    <link:label id="lab_us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_34aef786-4f7d-4958-ad46-0b333ac7fd03_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>
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    <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_PreferredStockConvertibleConversionLimit_811597e9-f007-4602-8b1c-280137a7ddbe_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-20200930.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_IncreaseDecreaseInNotesReceivableRelatedParties_67683a55-d254-4bc6-9ff0-f24443eaca93_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" 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">Decrease (increase) in notes receivable&#8211;affiliated companies</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" xlink: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 Notes Receivable, Related Parties</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" xlink:to="lab_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressPostalZipCode_3809ad2b-3ab5-47c6-bc4c-a8d0393afe1e_terseLabel_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink: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, Postal Zip Code</link:label>
    <link:label id="lab_dei_EntityAddressPostalZipCode_label_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink: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, Postal Zip Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode" xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityAddressPostalZipCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressPostalZipCode" xlink:to="lab_dei_EntityAddressPostalZipCode" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDepreciationAndAmortization_16db005f-d9dd-42b7-afec-72aabebf511b_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>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDepreciationAndAmortization_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDepreciationAndAmortization" xlink: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, Depreciation and Amortization</link:label>
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    <link:label id="lab_us-gaap_Goodwill_536fd571-c636-46d5-8ec5-09f5c87dd1d4_verboseLabel_en-US" xlink:label="lab_us-gaap_Goodwill" 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</link:label>
    <link:label id="lab_us-gaap_Goodwill_4091c51c-62ca-4430-8527-82b6ea2db951_terseLabel_en-US" xlink:label="lab_us-gaap_Goodwill" xlink: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</link:label>
    <link:label id="lab_us-gaap_Goodwill_label_en-US" xlink:label="lab_us-gaap_Goodwill" xlink: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</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Goodwill" xlink:to="lab_us-gaap_Goodwill" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_0bc03dc2-3f49-4aa2-b7e3-61e98c4456d8_terseLabel_en-US" xlink:label="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees" xlink: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>
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    <link:label id="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_documentation_en-US" xlink:label="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees" 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">Annualized fee received for retained CES obligation guarantees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees" xlink:href="cnp-20200930.xsd#cnp_AnnualizedfeereceivedforretainedCESobligationguarantees"/>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_a1e77a38-88d4-4b56-9d80-4e94a6b99d1b_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_ProceedsFromRepaymentsOfCommercialPaper_afdda3a6-18e7-42a4-821d-badd8e4deb0b_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromRepaymentsOfCommercialPaper" xlink: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 (payments of) commercial paper, net</link:label>
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    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_84e3a4e2-a72f-4f9c-a4c8-cd455f566d5e_verboseLabel_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" 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">Dividends declared per share</link:label>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_label_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink: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, Dividends, Per Share, Declared</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockDividendsPerShareDeclared" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
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    <link:label id="lab_us-gaap_ContractWithCustomerLiabilityCurrent_c492dcc8-6cbf-471e-8426-021590bf1bbe_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_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock_97c1cb6a-0add-41a2-819b-f1edb1e77841_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 [Table Text Block]</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 [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupsIncludingDiscontinuedOperationsCashFlowTableTextBlock" xlink:href="cnp-20200930.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_13b1d0da-c48c-49ff-9b99-501c916a61d9_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-20200930.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_CashAndCashEquivalentsAtCarryingValue_e7118d11-01e9-49b7-8f66-77367d719bd8_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink: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_CashAndCashEquivalentsAtCarryingValue_e78e753e-2610-4c2f-b42a-6bae5d6f837a_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, at Carrying Value</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_OperationandmaintenanceagreementsMember_523e5391-821a-42aa-bf43-089940684bbd_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-20200930.xsd#cnp_OperationandmaintenanceagreementsMember"/>
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    <link:label id="lab_us-gaap_LongTermDebtNoncurrent_ac89af75-d8f2-4f3b-b3a5-26ac50fc8f33_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_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_78206d9d-e6ef-41a9-8b6b-e9f057935685_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_us-gaap_DebtInstrumentLineItems_22a66130-b1b8-4afd-aa3d-79006c4e5472_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_PreferredStockDividendsAndOtherAdjustmentsAbstract_8e79e61b-d717-4f4d-85f0-50e2addc7981_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract" xlink: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 and Other Adjustments [Abstract]</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract_label_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract" xlink: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 [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract" xlink:to="lab_us-gaap_PreferredStockDividendsAndOtherAdjustmentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquity_e40de358-bc47-437f-a84c-a44adb7e7b79_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink: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 shareholders&#8217; equity</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_39223a29-c5a7-4262-8269-4313d9137e2d_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 period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_3fb828fd-9050-4a4a-aadb-ef0343559c8f_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 period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_a862112c-f53b-47fc-8ff5-e2aac173d6e6_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&#8217; equity</link:label>
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    <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_cnp_Amortizationofintangibleassetsdiscontinuedoperations_82106745-12ce-4459-b1f1-f6ba69adda27_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-20200930.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_us-gaap_DiscontinuedOperationAmountsOfMaterialContingentLiabilitiesRemaining_0df0d82d-e79e-46a1-bfee-68e969a9a873_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>
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    <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_5f5b2f5a-9129-4e51-8d68-4f431717d4dc_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-20200930.xsd#cnp_MoneyPoolInvestmentsWeightedAverageInterestRate"/>
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    <link:label id="lab_dei_EntityAddressCityOrTown_c88d5c73-b724-4aa0-b074-c0e4be4aee30_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>
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    <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_us-gaap_FairValueByFairValueHierarchyLevelAxis_174c0e95-7b40-433f-bb25-389b0cb5cf1a_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, Assets Measured on Recurring Basis, Disclosure Items [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_us-gaap_FinancialInstrumentAxis_8e9da677-c3f9-49b9-ba69-e8411196319a_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Financial Instrument [Axis]</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_ecaf2897-bb32-4a4a-bfe2-6ae774cd00cc_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_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_213c6f75-96ed-4b3d-99cf-f69b5fb93088_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink: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_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_label_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink: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, Discontinued Operation, Non-trading derivative liabilities</link:label>
    <link:label id="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_documentation_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" 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, Discontinued Operation, Non-trading derivative liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink:href="cnp-20200930.xsd#cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink:to="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PublicUtilitiesRequestedReturnOnEquityPercentage_6290b695-9f62-45b2-afcf-ee173952efe0_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_cnp_EquityMethodInvestmentOwnershipShares_575e54f4-051d-4c6e-9d93-68cd90470c7c_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-20200930.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_cnp_GainLossOnIndexedDebtSecurities_73a53c67-e35e-45f6-9151-a13f0efaa37f_verboseLabel_en-US" xlink:label="lab_cnp_GainLossOnIndexedDebtSecurities" 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">Loss 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-20200930.xsd#cnp_GainLossOnIndexedDebtSecurities"/>
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    <link:label id="lab_cnp_NumberofStatesinwhichtheEntityPerformsGasDeliveryServices_42c8864f-8a65-4a04-93f5-8679cbdfb5cf_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-20200930.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_AccruedUnbilledRevenuesAllowanceforCreditLossesCurrent_c9d51a16-89f6-4807-a096-848e67685f58_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-20200930.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_4a4e17f2-6e01-4403-8885-3935f3770a82_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_b7181d49-b8da-4837-870e-fc4f49662078_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividends" xlink: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 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_IncreaseDecreaseInOtherNoncurrentAssets_8a4e80e8-d572-4b62-ba5f-4ceeec5fbc0a_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" 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 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_fad3f7ee-b3f5-4151-aaaa-03a9248b422d_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">Money Pool Investments</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-20200930.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_3733f5db-88c9-4b24-bfc1-50320e0e71ee_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_0a79ce6a-4eb4-4a44-b9d6-3f2712d0b84f_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink: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 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_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock_bd9fab6a-82fc-47cf-8534-6d44f46e923f_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock" xlink: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 Notional Amounts of Outstanding Derivative Positions [Table Text Block]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock" xlink: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 Notional Amounts of Outstanding Derivative Positions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage_f7cb3c9c-ce6d-4af1-8399-7dac0c01f35c_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>
    <link:label id="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage_label_en-US" xlink:label="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage" xlink: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 Debt Capital Structure, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage" xlink:to="lab_us-gaap_PublicUtilitiesRequestedDebtCapitalStructurePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherLiabilitiesCurrent_92b6b666-7903-4fcc-8d89-950ca4a32893_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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLiabilitiesCurrent"/>
    <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"/>
    <link:label id="lab_srt_EquityMethodInvesteeNameDomain_4c769093-65c7-40fd-b0be-cc70deb15778_terseLabel_en-US" xlink:label="lab_srt_EquityMethodInvesteeNameDomain" xlink: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, Name [Domain]</link:label>
    <link:label id="lab_srt_EquityMethodInvesteeNameDomain_label_en-US" xlink:label="lab_srt_EquityMethodInvesteeNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_EquityMethodInvesteeNameDomain" xlink:to="lab_srt_EquityMethodInvesteeNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossNetOfTax_cf4889bf-eb90-48c3-a6b3-44f3db237aed_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_13cf5f4e-fc0d-4516-ba30-6dae14092ed6_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_AccountsPayableRelatedPartiesCurrent_66aeb0fd-f5f5-4f29-b04e-b40211d00c57_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>
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    <link:label id="lab_us-gaap_TaxesExcludingIncomeAndExciseTaxes_c5122e72-f0ae-4048-a769-9fce9fc85a8f_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>
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    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_e21c5d4c-d364-4975-9b76-e25350a67672_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>
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    <link:label id="lab_us-gaap_AssetsCurrent_2a602217-45cf-4464-9c7e-dd24b6702935_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>
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    <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>
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    <link:label id="lab_us-gaap_CorporateAndOtherMember_e1af2197-443e-46ea-8f0a-93c0e7f9e12f_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:label id="lab_us-gaap_EarningsPerShareAbstract_94160f51-8c74-4cea-9276-d5e38f92d103_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>
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    <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_DefinedBenefitPlanFairValueOfPlanAssetsPeriodIncreaseDecrease_0e355ff1-91f5-4385-86ad-191cfc217251_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanFairValueOfPlanAssetsPeriodIncreaseDecrease" xlink: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 in defined benefit plan, plan assets</link:label>
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    <link:label id="lab_us-gaap_LongTermDebtNoncurrentAbstract_79c4a540-20a9-42e1-aa6f-540af1f1806f_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtNoncurrentAbstract" 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">Long-term Debt:</link:label>
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    <link:label id="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_6508d75b-3aca-412b-9312-a9e3c8cbea83_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>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_7f15a8d8-646e-4b72-bdcd-0c2ba394458a_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>
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    <link:label id="lab_cnp_ChangeinContractLiabilityRollForward_77907931-8308-49a4-96ac-4a7957cf4658_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>
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    <link:label id="lab_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_9219d9d4-a815-4d05-ad15-ff4b4b82a9ec_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>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationDeferredTaxLiabilities_ba9d4059-929a-475c-8e06-19ab768425bd_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>
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    <link:label id="lab_dei_EntityFilerCategory_792b7266-8312-498a-ac43-9b060ff97552_terseLabel_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink: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 Filer Category</link:label>
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    <link:label id="lab_cnp_HoustonelectricstipulationandsettlementagreementMember_d2d89295-7e8d-4ca2-a2da-bffb8b0a5f4e_terseLabel_en-US" xlink:label="lab_cnp_HoustonelectricstipulationandsettlementagreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Houston electric stipulation and settlement agreement [Member]</link:label>
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    <link:label id="lab_us-gaap_CommonStockMember_0ea9cb68-38a2-41cf-a5da-180541e6fb4a_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink: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 [Member]</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_476b8213-825b-4d07-9c9b-8365499a52f0_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">Debt Instrument, Interest Rate, Stated Percentage</link:label>
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    <link:label id="lab_us-gaap_EarningsPerShareDiluted_e53df123-3cda-418d-a6d2-2a5bcc923923_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink: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</link:label>
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    <link:label id="lab_cnp_GeneralMortgageBondsUsedAsCollateral_f5ca157f-780b-44a8-b650-2fa2f536bf92_terseLabel_en-US" xlink:label="lab_cnp_GeneralMortgageBondsUsedAsCollateral" xlink: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 used as collateral</link:label>
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    <link:label id="lab_cnp_GeneralMortgageBondsUsedAsCollateral_documentation_en-US" xlink:label="lab_cnp_GeneralMortgageBondsUsedAsCollateral" 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 used as collateral</link:label>
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    <link:label id="lab_cnp_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationToRegulatoryAssetAfterTax_0a776cf9-d003-4468-8bf5-3759a556fe6c_terseLabel_en-US" xlink:label="lab_cnp_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationToRegulatoryAssetAfterTax" xlink: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 losses from cash flow hedges</link:label>
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    <link:label id="lab_cnp_FairValueOfDisposalGroup_26af6777-57f6-4882-aae5-8fd141689ecb_terseLabel_en-US" xlink:label="lab_cnp_FairValueOfDisposalGroup" xlink: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 Disposal Group</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfStockByClassTable_3dffd1e6-158a-4298-be76-e6a300de9acf_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfStockByClassTable" xlink: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 Stock by Class [Table]</link:label>
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    <link:label id="lab_us-gaap_MarketableSecuritiesGainLoss_e3a06c14-273d-41ca-b890-78cafb945c54_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 on marketable securities</link:label>
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    <link:label id="lab_cnp_DiscontinuedoperationCapitalizedfees_3cb08c7b-dad6-4755-a272-ccb58cf4ab49_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>
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    <link:label id="lab_dei_EntityAddressAddressLine1_7bfe403f-6bea-45bd-ba53-cab7988d8500_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>
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    <link:label id="lab_dei_EntityEmergingGrowthCompany_d5cd88c6-e082-4d0d-9539-8ca3a1427133_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>
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    <link:label id="lab_us-gaap_DeferredIncomeTaxExpenseBenefit_43d0d727-4b8b-47c1-a79c-6c815efdcd61_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>
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    <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"/>
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    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_0374b014-4fb4-4f21-ab70-20a78514f381_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>
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    <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_5d24cc31-a2b4-4cdd-b0f8-a037330489b0_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>
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    <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>
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    <link:label id="lab_cnp_COVID19ERPRegulatoryLiability_ca9638ab-7d36-4283-a629-4c04014ec8d3_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>
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_ca34c8ef-1ad9-4379-8d23-bde8a90db062_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">Intangible assets accumulated amortization</link:label>
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    <link:label id="lab_srt_MaximumMember_72ddfbb6-279d-409f-8378-dda4f8ba0adb_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_PreferredStockSharesAuthorized_2ac46093-6611-40e7-9c08-84c26dfff9da_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesAuthorized" xlink: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 Authorized</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesAuthorized_label_en-US" xlink:label="lab_us-gaap_PreferredStockSharesAuthorized" xlink: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 Authorized</link:label>
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    <link:label id="lab_cnp_Environmentalremediationnumberofsiteswithpotentialremedialresponsibility_6a89864b-fc9d-4202-bf07-2bb12d5ca85f_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>
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    <link:label id="lab_us-gaap_RegulatoryAssetsAndLiabilitiesOtherDisclosuresAbstract_e60178b2-0ebf-4c9f-a71a-b22371f98d76_terseLabel_en-US" xlink:label="lab_us-gaap_RegulatoryAssetsAndLiabilitiesOtherDisclosuresAbstract" xlink: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 and Liabilities, Other Disclosures [Abstract]</link:label>
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    <link:label id="lab_us-gaap_OtherLongTermDebtNoncurrent_e6c6f628-07ac-46ac-96cb-79cbe2263965_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>
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    <link:label id="lab_us-gaap_CumulativePreferredStockMember_2719ccd2-b4b5-4051-a1af-a6e9e4ddcb37_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</link:label>
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    <link:label id="lab_us-gaap_PurchaseObligationDueAfterFifthYear_01d0dafc-90b0-4918-b359-f8d02268adb9_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>
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    <link:label id="lab_us-gaap_TaxesPayableCurrent_8cc1492e-e625-4756-985d-9bc06f78d622_terseLabel_en-US" xlink:label="lab_us-gaap_TaxesPayableCurrent" xlink: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 accrued</link:label>
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    <link:label id="lab_dei_EntityAddressStateOrProvince_110977f2-7fae-4734-a3be-14f098945d63_terseLabel_en-US" xlink:label="lab_dei_EntityAddressStateOrProvince" xlink: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, State or Province</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTextBlock_b476c0b5-4d78-40ad-89bc-642f54cdb4c9_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTextBlock" xlink: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 Defined Benefit Plans Disclosures [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_AccountsPayableCurrent_b2cdb790-4ff0-4133-9a1c-fa7fbe1df8f7_terseLabel_en-US" xlink:label="lab_us-gaap_AccountsPayableCurrent" xlink: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_AccountsPayableCurrent_label_en-US" xlink:label="lab_us-gaap_AccountsPayableCurrent" xlink: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, Current</link:label>
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    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_d3556f8d-37b5-47e8-8d18-4dfedc4de521_terseLabel_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink: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 (accumulated deficit)</link:label>
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    <link:label id="lab_us-gaap_PublicUtilitiesInventory_1604b365-faf5-477c-b47c-cb128968880f_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>
    <link:label id="lab_us-gaap_PublicUtilitiesInventory_label_en-US" xlink:label="lab_us-gaap_PublicUtilitiesInventory" xlink: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, Inventory</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PublicUtilitiesInventory" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PublicUtilitiesInventory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PublicUtilitiesInventory" xlink:to="lab_us-gaap_PublicUtilitiesInventory" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PeriodDomain_e8eea5b9-c7e3-486f-8b81-328f894aaabe_terseLabel_en-US" xlink:label="lab_cnp_PeriodDomain" xlink: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 [Domain]</link:label>
    <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">[Domain] for Period of the transaction occurred [Axis]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PeriodDomain" xlink:to="lab_cnp_PeriodDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_9aff1b71-dac7-4dfd-837e-d15b7e075fef_verboseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract" 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">Shareholders&#8217; Equity:</link:label>
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    <link:label id="lab_us-gaap_DerivativeLiabilityNotionalAmount_ba767b29-3ddb-4b98-b19f-bf432252bfd8_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilityNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Aggregate notional amount</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilityNotionalAmount_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilityNotionalAmount" xlink: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, Notional Amount</link:label>
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    <link:label id="lab_srt_MajorCustomersAxis_eeb838b1-5c0d-4400-9b09-04133c1299c0_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>
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    <link:label id="lab_us-gaap_HedgingDesignationDomain_10474471-e2fc-4d56-b452-23adf4c14139_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>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationOperationandMaintenanceExpense_921c19c9-6351-4f73-93f6-ed8426b909eb_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>
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    <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>
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    <link:label id="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_3faaaa79-e5f2-49a4-b14e-9cc214772c71_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities" 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 investing activities, net</link:label>
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    <link:label id="lab_us-gaap_EnergyRelatedInventoryNaturalGasInStorage_ad9c4434-77d4-4d61-a9f8-df5a153b4177_terseLabel_en-US" xlink:label="lab_us-gaap_EnergyRelatedInventoryNaturalGasInStorage" xlink: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>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EnergyRelatedInventoryNaturalGasInStorage" xlink:to="lab_us-gaap_EnergyRelatedInventoryNaturalGasInStorage" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_HoustonElectricMember_4c95ef7a-c81e-40aa-84e8-8f0c4c2e3044_terseLabel_en-US" xlink:label="lab_cnp_HoustonElectricMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Houston Electric [Member]</link:label>
    <link:label id="lab_cnp_HoustonElectricMember_label_en-US" xlink:label="lab_cnp_HoustonElectricMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Houston Electric [Member]</link:label>
    <link:label id="lab_cnp_HoustonElectricMember_documentation_en-US" xlink:label="lab_cnp_HoustonElectricMember" 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">Houston Electric [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_HoustonElectricMember" xlink:href="cnp-20200930.xsd#cnp_HoustonElectricMember"/>
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    <link:label id="lab_cnp_CurrentLiabilitiesMember_f2faf2cc-5b2a-498d-b81f-ed1c3b4ca31d_terseLabel_en-US" xlink:label="lab_cnp_CurrentLiabilitiesMember" xlink: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 [Member]</link:label>
    <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:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CurrentLiabilitiesMember" xlink:to="lab_cnp_CurrentLiabilitiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetRetirementObligation_16699141-6c80-4e05-bc2b-9d5e255b5245_terseLabel_en-US" xlink:label="lab_us-gaap_AssetRetirementObligation" xlink: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</link:label>
    <link:label id="lab_us-gaap_AssetRetirementObligation_label_en-US" xlink:label="lab_us-gaap_AssetRetirementObligation" xlink: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</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetRetirementObligation" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetRetirementObligation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetRetirementObligation" xlink:to="lab_us-gaap_AssetRetirementObligation" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_8a015c4a-b3dd-474f-9bb7-2d7e6e68e2d1_terseLabel_en-US" xlink:label="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount" xlink: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 guarantee obligations outstanding face amount</link:label>
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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>
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    <link:label id="lab_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_0e196e17-396b-4e9b-b478-091ee903bd03_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>
    <link:label id="lab_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_label_en-US" xlink:label="lab_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax" xlink: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, Excluding Assessed Tax</link:label>
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    <link:label id="lab_us-gaap_UnusualRiskOrUncertaintyByNatureAxis_70eb4197-2e6a-421b-9843-924408453a59_terseLabel_en-US" xlink:label="lab_us-gaap_UnusualRiskOrUncertaintyByNatureAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Unusual Risk or Uncertainty, Nature [Axis]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnusualRiskOrUncertaintyByNatureAxis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnusualRiskOrUncertaintyByNatureAxis"/>
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    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_ee3abb6a-e2ae-4bfd-ba12-307ef48a250a_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink: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 [Axis]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink: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 [Axis]</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1_b7fa1623-b5c9-47e8-9a70-dc9597ef4726_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" 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">Settlement cost (2) (3)</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlements1" xlink: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, Net Periodic Benefit Cost (Credit), Gain (Loss) Due to Settlement</link:label>
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    <link:label id="lab_us-gaap_DefinedBenefitPlanDisclosureLineItems_e08cddc2-ff0f-4016-aeeb-d57ac70e82bc_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink: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 Disclosure [Line Items]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DefinedBenefitPlanDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:to="lab_us-gaap_DefinedBenefitPlanDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_f87fae04-523d-40cd-b9a9-c90f6677f87e_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink: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 Investments, Fair Value Disclosure</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink: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, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CommonUnitsMember_9a778340-c851-4436-a30f-4899e83c6468_terseLabel_en-US" xlink:label="lab_cnp_CommonUnitsMember" xlink: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 Units [Member]</link:label>
    <link:label id="lab_cnp_CommonUnitsMember_label_en-US" xlink:label="lab_cnp_CommonUnitsMember" xlink: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 Units [Member]</link:label>
    <link:label id="lab_cnp_CommonUnitsMember_documentation_en-US" xlink:label="lab_cnp_CommonUnitsMember" 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 Units [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_CommonUnitsMember" xlink:href="cnp-20200930.xsd#cnp_CommonUnitsMember"/>
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    <link:label id="lab_us-gaap_EarningsPerShareBasicAndDilutedAbstract_20017317-1bf5-4b22-83d9-aa7899388308_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">Continuing Operations 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>
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    <link:label id="lab_us-gaap_InterestPayableCurrent_f621f09b-9aef-47bf-b3b1-2c69e4fc7d14_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_cnp_AccountsReceivableforContractswithCustomers_f285374c-d667-4fdc-bdee-38c4d1754d66_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_fc56f9f6-fa3d-462f-910e-ab787549df74_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 September 30, 2020</link:label>
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    <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-20200930.xsd#cnp_AccountsReceivableforContractswithCustomers"/>
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    <link:label id="lab_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure_a6aa73ef-008f-4f70-ad84-d336d7bae774_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>
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    <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-20200930.xsd#cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure"/>
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    <link:label id="lab_us-gaap_CreditFacilityAxis_e5d755d8-a49c-42cd-876a-5aac6e3199d9_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_6e2dfd4a-57e6-4057-bc4b-e3b1fadb6e74_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">Series C preferred stock</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>
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    <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_23260f79-34f6-405e-a716-df4abc0d9464_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>
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    <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>
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    <link:label id="lab_us-gaap_DerivativeLiabilitiesNoncurrent_58959ec1-309e-4064-b74a-484c311926aa_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>
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    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_9469a029-d7ba-4cf8-aeeb-5d83ef5343d7_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>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationTaxesOtherthanIncomeTaxes_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationTaxesOtherthanIncomeTaxes" 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, Taxes Other than Income Taxes</link:label>
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    <link:label id="lab_us-gaap_RevenueRecognitionAbstract_45a8982a-b94c-4467-8a27-53d1056736f9_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRecognitionAbstract" xlink: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 [Abstract]</link:label>
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    <link:label id="lab_cnp_ATTCommonMember_b8d05f4e-35ed-4f87-8877-fec978b3d831_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>
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    <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>
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    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_9e6c8b9f-18dc-46be-85d3-ec300c6ffc58_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>
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    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_0222d988-a329-4f7f-bc39-bf7819d9300d_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink: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 Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
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    <link:label id="lab_cnp_CERCSeniorNotes450Due2021Member_f2a469a5-a933-48ce-a851-f0d7788072e7_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>
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    <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_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold_f2e82a4c-93be-4fd3-86d0-a396ebac872b_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold" xlink: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</link:label>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_49e61926-97a0-48f1-bbbc-15d0562ed578_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent" xlink: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>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent" 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, non-current</link:label>
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    <link:label id="lab_cnp_A6.625SeniorNotesdue2037Member_4b765322-6d97-45de-88d1-f37c91ca8042_terseLabel_en-US" xlink:label="lab_cnp_A6.625SeniorNotesdue2037Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">6.625% Senior Notes due 2037 [Member]</link:label>
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    <link:label id="lab_us-gaap_LineOfCredit_34c90bb7-a384-420d-b90a-63389c87dcc1_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCredit" xlink: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 line of credit</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCredit" xlink:to="lab_us-gaap_LineOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember_4911af86-da7a-424d-b095-f96abbce0625_terseLabel_en-US" xlink:label="lab_cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember" xlink: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 (payable) - affiliate companies [Member]</link:label>
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    <link:label id="lab_us-gaap_RepaymentsOfDebt_2eb1d454-9ba9-48cb-8916-f82f4c99bc4d_terseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Repayments of Debt</link:label>
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    <link:label id="lab_dei_Security12bTitle_ab1a0103-c0ef-4bdc-b933-6c47093efc14_terseLabel_en-US" xlink:label="lab_dei_Security12bTitle" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Title of 12(b) Security</link:label>
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsNet_4c596e3f-86bc-4b55-9016-f9f3a703dd6f_totalLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsNet" 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 intangible assets</link:label>
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    <link:label id="lab_cnp_AffiliatesofVistraEnergyCorp.Member_5b149e1f-56d9-4402-b595-f4bc9bdb3a30_terseLabel_en-US" xlink:label="lab_cnp_AffiliatesofVistraEnergyCorp.Member" xlink: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 Vistra Energy Corp. [Member]</link:label>
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    <link:label id="lab_cnp_AffiliatesofVistraEnergyCorp.Member_documentation_en-US" xlink:label="lab_cnp_AffiliatesofVistraEnergyCorp.Member" 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 Vistra Energy Corp. [Member]</link:label>
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    <link:label id="lab_cnp_EnableDistributionsAbstract_8da8ff54-f47f-4b83-b097-e4f9df77e8f3_terseLabel_en-US" xlink:label="lab_cnp_EnableDistributionsAbstract" xlink: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 Distributions [Abstract]</link:label>
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    <link:label id="lab_cnp_EnableDistributionsAbstract_documentation_en-US" xlink:label="lab_cnp_EnableDistributionsAbstract" 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 Distributions [Abstract]</link:label>
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    <link:label id="lab_us-gaap_DepreciationDepletionAndAmortization_b6544f55-fa0a-4c75-bc8f-924fdb06ec56_terseLabel_en-US" xlink:label="lab_us-gaap_DepreciationDepletionAndAmortization" xlink: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>
    <link:label id="lab_us-gaap_DepreciationDepletionAndAmortization_dc81bd97-754b-4a26-8380-d5c59b5d742b_verboseLabel_en-US" xlink:label="lab_us-gaap_DepreciationDepletionAndAmortization" 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</link:label>
    <link:label id="lab_us-gaap_DepreciationDepletionAndAmortization_label_en-US" xlink:label="lab_us-gaap_DepreciationDepletionAndAmortization" xlink: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</link:label>
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    <link:label id="lab_us-gaap_PreferredStockLiquidationPreference_5f29a721-1f11-43f5-9f7b-25b8354208a1_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>
    <link:label id="lab_us-gaap_PreferredStockLiquidationPreference_label_en-US" xlink:label="lab_us-gaap_PreferredStockLiquidationPreference" xlink: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 Per Share</link:label>
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    <link:label id="lab_us-gaap_SegmentDiscontinuedOperationsMember_04473fff-084f-4526-a93a-6fc40787418e_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentDiscontinuedOperationsMember" xlink: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 Operations [Member]</link:label>
    <link:label id="lab_us-gaap_SegmentDiscontinuedOperationsMember_6a8ba76c-6849-4d4a-a325-742006919f0e_verboseLabel_en-US" xlink:label="lab_us-gaap_SegmentDiscontinuedOperationsMember" 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">CES natural gas related transactions [Member]</link:label>
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    <link:label id="lab_us-gaap_EnvironmentalRemediationSiteAxis_4048ba5d-6b57-4f9e-b0f3-0760a7dd957a_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_OperationAndMaintenanceExpenseMember_2816117a-53a4-41ef-bce0-e50673c2d968_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>
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    <link:label id="lab_cnp_DepositarysharesMember_b1e607c1-fa05-4eaa-9d2b-5f1659b61358_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 [Member]</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 representing a 1/20th interest in a share of 7.00% Series B Mandatory Convertible Preferred Stock.</link:label>
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    <link:label id="lab_us-gaap_SupplementalCashFlowElementsAbstract_96269908-ac18-40a5-a0e9-722ce2000d75_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>
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    <link:label id="lab_cnp_NewYorkStockExchangeMember_07c86a4b-2fe4-4814-bb8e-c6eec0c2515a_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 [Member]</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-20200930.xsd#cnp_NewYorkStockExchangeMember"/>
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    <link:label id="lab_us-gaap_ContractWithCustomerLiabilityRevenueRecognized_e87cb7d9-ffd6-4e96-9d8e-d7fa4ecfcd5d_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>
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    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsPayable_3f8102c3-f115-42b2-875f-821660ea8f1a_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>
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    <link:label id="lab_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationNetOfTaxPerBasicShare_93a7bbd9-aa89-474d-b671-cefda5114dd1_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>
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    <link:label id="lab_us-gaap_CommonStockDividendsPerShareCashPaid_26f9fbae-0165-46a8-8890-4e421b4ea897_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareCashPaid" xlink: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 paid per share</link:label>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareCashPaid_label_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareCashPaid" xlink: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, Dividends, Per Share, Cash Paid</link:label>
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    <link:label id="lab_cnp_DepreciationandamortizationexpenseMember_4c139200-503c-430a-ad43-1ad1964c90bd_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-20200930.xsd#cnp_DepreciationandamortizationexpenseMember"/>
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    <link:label id="lab_us-gaap_DebtInstrumentAxis_2609228f-7f4f-48cf-af30-e1f1e27e8fb3_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_CenterpointEnergyMember_b564515e-fa43-499d-9509-05833ec60164_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-20200930.xsd#cnp_CenterpointEnergyMember"/>
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    <link:label id="lab_cnp_ChangeinContractAssetRollForward_3037fca7-7899-49b1-9cef-f2f2bcaf24f1_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-20200930.xsd#cnp_ChangeinContractAssetRollForward"/>
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    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_fcba9af7-161f-4768-bec6-2d4100d27975_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"/>
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    <link:label id="lab_cnp_SecondQuarter2020Member_d46366bc-158f-46ad-a2d2-ce535955c265_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>
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    <link:label id="lab_us-gaap_OperatingSegmentsMember_339ed46d-39c2-451d-8b4d-df8b09d10d25_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_f9956f89-1e9e-45f3-bf73-83784da6daec_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>
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    <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_ClassOfStockLineItems_831f7dea-c366-4296-a4c4-b939ea10359a_terseLabel_en-US" xlink:label="lab_us-gaap_ClassOfStockLineItems" xlink: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 [Line Items]</link:label>
    <link:label id="lab_us-gaap_ClassOfStockLineItems_label_en-US" xlink:label="lab_us-gaap_ClassOfStockLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Class of Stock [Line Items]</link:label>
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    <link:label id="lab_us-gaap_DerivativeLiabilities_a0b8347a-9352-4100-93f6-d73c921ea45c_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" 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 liabilities</link:label>
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    <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_4a3085e6-080d-45ac-9c68-2a490a33522b_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_d5bf04d8-c5f5-4c00-aaf8-e5a5eaa61832_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 September&#160;30, 2020</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink: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), before Reclassifications, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink:to="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_f075e9ee-7232-4617-a7e3-1c6455f1eb38_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>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink: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 [Domain]</link:label>
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    <link:label id="lab_us-gaap_PaymentsToAcquireProductiveAssets_8f21cac5-61fd-41b7-88d4-d1cb6d60280f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireProductiveAssets" 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 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"/>
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    <link:label id="lab_us-gaap_OciEquityMethodInvestmentTax_e78adf9f-d28a-48fb-9434-52a9964c2ba0_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">Tax benefit (expense) on Other Comprehensive lncome (loss) from unconsolidated affiliates</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_b55bd10f-bb44-4a44-8185-0e83c4a6c678_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 financing activities, net</link:label>
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    <link:label id="lab_us-gaap_RegulatoryAssetDomain_e811c683-1355-4f02-b53f-8dac4fada00c_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>
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    <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_us-gaap_EquityMethodInvestmentDividendsOrDistributions_f3221bb9-1052-47c0-a3c1-e94a0b4a9253_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>
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    <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_a5500f34-408a-4103-9a90-f99fdc860a03_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>
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    <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-20200930.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_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_82359ed2-f8db-4bc7-ae36-4e4c2c522490_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>
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    <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_abaf4b8f-a1d8-46d3-986f-b36a6207f47e_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>
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    <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_cnp_OGEMember_ff1b14ea-9507-4e0e-9fbc-bdb0c1314690_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-20200930.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_DefinedBenefitPlanServiceCost_9e84ed6f-cd7c-40eb-8109-f9391bbaab42_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>
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    <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_9b55f614-0fa3-47c2-8c51-c55d22091da3_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 from 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-20200930.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_us-gaap_CustomerRelationshipsMember_0cb95581-3cab-49d9-8581-cedcc4279c4a_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_71cb0604-b4ad-4437-bbe3-e3357567ba0c_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>
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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_830d5a54-1b45-4d7d-83e6-cffe9156e65e_terseLabel_en-US" xlink:label="lab_cnp_CostMethodInvestmentDividendsOrDistributions" xlink: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 received from Enable cost method investment</link:label>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_f560677d-1352-4742-8292-15c4f250fa3e_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:label id="lab_us-gaap_PurchaseObligationDueInThirdYear_91a4ad82-ebe7-4d52-bab8-a12bef35464e_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInThirdYear" xlink: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>
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    <link:label id="lab_us-gaap_StatementOfStockholdersEquityAbstract_5ad90d21-2ed8-4fab-a945-287b4b2c1e4f_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:label id="lab_dei_EntityListingsExchangeAxis_ba6a217d-5d0c-4735-83bd-5eae6c0197a7_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>
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    <link:label id="lab_us-gaap_EnvironmentalRemediationObligationsAbstract_c9109c0f-b283-40d0-b78f-6975aa76f5a3_terseLabel_en-US" xlink:label="lab_us-gaap_EnvironmentalRemediationObligationsAbstract" xlink: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, Environmental and Other Matters</link:label>
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    <link:label id="lab_us-gaap_RetirementPlanTypeDomain_4a874c66-746f-49a4-b476-8aac1f77c038_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>
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    <link:label id="lab_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustmentAbstract_692d3a51-1b40-4a2e-88cb-37f79982f490_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_us-gaap_NondesignatedMember_65bb3a67-50ac-4f11-a23c-814562d511f0_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>
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_85ec054a-0c7f-4b27-8099-207d85bf4a0a_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>
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    <link:label id="lab_us-gaap_CompensationAndRetirementDisclosureAbstract_96bc2435-13af-49ae-a1ea-7d1f95c5d35c_terseLabel_en-US" xlink:label="lab_us-gaap_CompensationAndRetirementDisclosureAbstract" xlink: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 Benefits [Abstract]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDerivativeAssetsAndLiabilities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInDerivativeAssetsAndLiabilities"/>
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    <link:label id="lab_cnp_RevisedDividendorDistributionMember_documentation_en-US" xlink:label="lab_cnp_RevisedDividendorDistributionMember" 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">Revised Dividend or Distribution [Member]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIOnDerivativesTax"/>
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    <link:label id="lab_cnp_SeriesAPreferredUnitsMember_a9c17232-9019-4cc5-be37-bf1caeafc86e_terseLabel_en-US" xlink:label="lab_cnp_SeriesAPreferredUnitsMember" xlink: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 A Preferred Units [Member]</link:label>
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    <link:label id="lab_cnp_SeriesAPreferredUnitsMember_documentation_en-US" xlink:label="lab_cnp_SeriesAPreferredUnitsMember" 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">Series A Preferred Units [Member]</link:label>
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    <link:label id="lab_us-gaap_GoodwillAndIntangibleAssetImpairment_08775589-ca03-44ae-947b-5df423cb3f8d_terseLabel_en-US" xlink:label="lab_us-gaap_GoodwillAndIntangibleAssetImpairment" xlink: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 Intangible Asset Impairment</link:label>
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    <link:label id="lab_srt_ParentCompanyMember_ef4396b8-7ae4-440a-9836-72e99efcbf37_terseLabel_en-US" xlink:label="lab_srt_ParentCompanyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Parent Company [Member]</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent_789e9c4e-12f2-4687-82d9-307e360e91cb_negatedLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent" 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">Adjustment to pension and other postretirement plans, net of tax</link:label>
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    <link:label id="lab_cnp_EnergyServicesMember_8510e5ac-a45b-482d-9974-2d246df422db_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_cnp_Lettersofcreditswinglinesublimit_df655e78-ce64-4cb2-a0c9-11e5b7196ec7_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>
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    <link:label id="lab_cnp_GeneralMortgageBondsDue2050Member_97bfbc5a-d229-4ccb-823f-da5b669ffc27_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>
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    <link:label id="lab_us-gaap_DividendsCash_621af648-7895-4ffc-838e-32dadc90dd61_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DividendsCash" 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_DividendsCash_label_en-US" xlink:label="lab_us-gaap_DividendsCash" xlink: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, Cash</link:label>
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    <link:label id="lab_cnp_PreferredStockConvertiblePercentOutstandingSharesToAmend_b17c3dbe-6fa0-440f-9b91-6ec81453137a_terseLabel_en-US" xlink:label="lab_cnp_PreferredStockConvertiblePercentOutstandingSharesToAmend" xlink: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, Percent Outstanding Shares To Amend</link:label>
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    <link:label id="lab_cnp_PreferredStockConvertiblePercentOutstandingSharesToAmend_documentation_en-US" xlink:label="lab_cnp_PreferredStockConvertiblePercentOutstandingSharesToAmend" 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, Percent Outstanding Shares To Amend</link:label>
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    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_17c5deec-6f32-440f-a722-93c4a2da5389_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Issuance of stock, shares</link:label>
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsGross_488bd0b9-fdee-483e-a42a-b44a4588e0bd_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">Intangible assets gross carrying amount</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsGross" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsGross" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_A6.95GeneralMortgageBondsdue2033Member_f1e8999a-b30f-411a-956c-a119fcc82fb4_terseLabel_en-US" xlink:label="lab_cnp_A6.95GeneralMortgageBondsdue2033Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">6.95% General Mortgage Bonds due 2033 [Member]</link:label>
    <link:label id="lab_cnp_A6.95GeneralMortgageBondsdue2033Member_label_en-US" xlink:label="lab_cnp_A6.95GeneralMortgageBondsdue2033Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">6.95% General Mortgage Bonds due 2033 [Member]</link:label>
    <link:label id="lab_cnp_A6.95GeneralMortgageBondsdue2033Member_documentation_en-US" xlink:label="lab_cnp_A6.95GeneralMortgageBondsdue2033Member" 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">6.95% General Mortgage Bonds due 2033 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_A6.95GeneralMortgageBondsdue2033Member" xlink:href="cnp-20200930.xsd#cnp_A6.95GeneralMortgageBondsdue2033Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_A6.95GeneralMortgageBondsdue2033Member" xlink:to="lab_cnp_A6.95GeneralMortgageBondsdue2033Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsNetAbstract_37942d03-b0a6-43d0-af65-470b174f5be4_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsNetAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Finite-Live Intangible Assets [Abstract]</link:label>
    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsNetAbstract_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsNetAbstract" xlink: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, Net [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNetAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsNetAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNetAbstract" xlink:to="lab_us-gaap_FiniteLivedIntangibleAssetsNetAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockDividendsPerShareCashPaid_dd125347-fed0-42a8-9ccc-d43d076c0289_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsPerShareCashPaid" xlink: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 paid per share</link:label>
    <link:label id="lab_us-gaap_PreferredStockDividendsPerShareCashPaid_label_en-US" xlink:label="lab_us-gaap_PreferredStockDividendsPerShareCashPaid" xlink: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, Per Share, Cash Paid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsPerShareCashPaid" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockDividendsPerShareCashPaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockDividendsPerShareCashPaid" xlink:to="lab_us-gaap_PreferredStockDividendsPerShareCashPaid" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_2784a29d-a533-4b10-9458-a1fbef2bb42d_terseLabel_en-US" xlink:label="lab_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink: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: accumulated depreciation and amortization</link:label>
    <link:label id="lab_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_label_en-US" xlink:label="lab_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink: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 Depreciation, Depletion and Amortization, Property, Plant, and Equipment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:to="lab_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContractWithCustomerAssetNetCurrent_9d45055b-18a1-4eab-855b-36d4792d0098_periodStartLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerAssetNetCurrent" 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_ContractWithCustomerAssetNetCurrent_23f5848a-acfa-426d-b81b-210fccc90428_periodEndLabel_en-US" xlink:label="lab_us-gaap_ContractWithCustomerAssetNetCurrent" 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 September&#160;30, 2020</link:label>
    <link:label id="lab_us-gaap_ContractWithCustomerAssetNetCurrent_label_en-US" xlink:label="lab_us-gaap_ContractWithCustomerAssetNetCurrent" xlink: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, Asset, after Allowance for Credit Loss, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNetCurrent" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ContractWithCustomerAssetNetCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContractWithCustomerAssetNetCurrent" xlink:to="lab_us-gaap_ContractWithCustomerAssetNetCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_CercCorpMember_f23b62f7-e36a-423e-9c3b-c544f36b11ab_terseLabel_en-US" xlink:label="lab_cnp_CercCorpMember" xlink: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 Corp [Member]</link:label>
    <link:label id="lab_cnp_CercCorpMember_label_en-US" xlink:label="lab_cnp_CercCorpMember" xlink: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 Corp [Member]</link:label>
    <link:label id="lab_cnp_CercCorpMember_documentation_en-US" xlink:label="lab_cnp_CercCorpMember" 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_CercCorpMember" xlink:href="cnp-20200930.xsd#cnp_CercCorpMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CercCorpMember" xlink:to="lab_cnp_CercCorpMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsAbstract_b2c61a60-4e61-4d6f-a3f3-cf607881597d_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink: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 Transactions [Abstract]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsAbstract_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink: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 Transactions [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:to="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgingRelationshipDomain_29046dcc-90b6-4dbb-9b5f-2af721a1d229_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingRelationshipDomain" xlink: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 Relationship [Domain]</link:label>
    <link:label id="lab_us-gaap_HedgingRelationshipDomain_label_en-US" xlink:label="lab_us-gaap_HedgingRelationshipDomain" xlink: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 Relationship [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingRelationshipDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_HedgingRelationshipDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingRelationshipDomain" xlink:to="lab_us-gaap_HedgingRelationshipDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_430147c8-c372-4e8f-b7d8-408b27ab13d1_verboseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" 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">Weighted Average Common Shares Outstanding, Basic</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_ad0d5d38-f4c6-43cd-af40-dde08da8710e_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink: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 common shares outstanding - basic</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_label_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink: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 Number of Shares Outstanding, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_96241d05-bdfa-43fc-90a3-bb4e225f05ea_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_cnp_OtherRevenueExcludingAssessedTax_95dee204-36c4-41bd-bccd-f7e6365af6ed_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</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-20200930.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_cf1ff5ed-197c-42d6-b261-5ee97e2a7b7b_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">Contested Amount Of Fines Imposed</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-20200930.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_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_07a783d3-b442-49df-b8c9-8075ce8e21cc_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink: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 non-current assets held for sale</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_88fc0e17-9429-4cf7-8bbd-538130a27e54_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_CarryingReportedAmountFairValueDisclosureMember_5d36cd64-6898-41fc-80a1-395964285cd4_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_us-gaap_RevenueFromContractWithCustomerTextBlock_6b552d34-100b-483f-96b7-5254fe2fb61f_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_95819b16-214e-458e-889d-a5d1531671ca_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">Ownership percentage of equity method investment</link:label>
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    <link:label id="lab_cnp_VariableInterestEntityOwnershipShares_documentation_en-US" xlink:label="lab_cnp_VariableInterestEntityOwnershipShares" 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 shares owned of the variable interest entity as of the balance sheet date</link:label>
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    <link:label id="lab_us-gaap_AccrualForEnvironmentalLossContingencies_76d383c5-34d4-4ddb-aae5-8e8b6dc7a182_terseLabel_en-US" xlink:label="lab_us-gaap_AccrualForEnvironmentalLossContingencies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Liability recorded for environmental loss contingencies</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfSubsequentEventsTextBlock_0e17dd05-ad08-4d94-9999-4481f3fb6beb_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>
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    <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_92071031-e293-4802-8b6c-2cd22d059799_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">Outstanding debt balance</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_8ba47ad3-1b0c-49b6-bfac-1ee2fbd8bcd2_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">Long-term Debt</link:label>
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    <link:label id="lab_cnp_PreviousDividendorDistributionMember_bc778bff-bef3-46b3-8b23-ef7a1cb13cef_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>
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    <link:label id="lab_cnp_ScheduleofallowedequityreturnrecognizedTableTextBlock_6787919c-9a93-47ac-bad0-4cce58ad309d_terseLabel_en-US" xlink:label="lab_cnp_ScheduleofallowedequityreturnrecognizedTableTextBlock" xlink: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 Allowed equity return recognized in period [Table Text Block]</link:label>
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    <link:label id="lab_us-gaap_ContractWithCustomerLiability_a986ee91-ba97-4021-ab1d-4e5b503f309f_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_c4095022-da00-4cf8-936f-c06435a0c97a_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 September&#160;30, 2020</link:label>
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    <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_659af188-b876-4eec-a39a-7e1ccd0abf4f_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>
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    <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_0db5e528-fcbe-40d5-9a06-6cdf569dbc22_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:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_4c98388c-a640-43ae-840c-3aa6bbe5a8a8_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>
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    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_ef741068-193c-44e7-9aaf-64d2bf01e22e_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>
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    <link:label id="lab_us-gaap_AwardTypeAxis_07bef845-8aad-4af3-b360-77ad551f9ac4_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">Award 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_AwardTypeAxis" xlink:to="lab_us-gaap_AwardTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_05f2868a-7d66-473e-a554-d0c00cd4a49b_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">Performance 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-20200930.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_PrepaidExpensesAndOtherCurrentAssetsMember_f39bbd4c-3ab9-476b-91b6-8fe0b707093a_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_7215d810-0d7a-4ab9-8243-e71443f49537_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-20200930.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_05678bce-0d76-4ea6-8dc4-0775831779d3_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_PurchaseObligationDueInNextTwelveMonths_11d1bd54-df15-4b07-b9fc-9a4876b249fa_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink: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>
    <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_4e2a948b-d3d2-4222-b858-855aadcceffa_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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterialsAndSupplies" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InventoryRawMaterialsAndSupplies"/>
    <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_c689c4dc-e783-4f01-af0c-b006f962440a_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_0fc614b1-f90c-49fe-af99-2e8d994fc40a_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_93a88d00-388f-4c55-8beb-62af58f65776_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 period</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_92a13d85-1424-4c8e-908c-b1f9da514971_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 period</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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesOutstanding" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <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_e61aafd4-48a8-40a8-ab82-9fff2d4ca008_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-20200930.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_f86d8b31-1227-4ae8-8268-9149bf9c5497_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_NetCashProvidedByUsedInInvestingActivities_ac14a145-f530-423c-8d81-55b42a93fa92_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities" 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 cash used in investing activities from continuing operations</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink: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 Cash Provided by (Used in) Investing Activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_52901687-4baa-4133-96fd-784e05009d87_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Award Type [Domain]</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink: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 [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesNoncurrentAbstract_0a25d979-d6a3-4d63-9788-cbd2198f145c_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesNoncurrentAbstract" xlink: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_LiabilitiesNoncurrentAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesNoncurrentAbstract" xlink: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, Noncurrent [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesNoncurrentAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesNoncurrentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesNoncurrentAbstract" xlink:to="lab_us-gaap_LiabilitiesNoncurrentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_cnp_Distributionpershareofcommonunits_d6b2155f-851d-4893-8b1e-3f31c14f7981_terseLabel_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distribution per share of common units</link:label>
    <link:label id="lab_cnp_Distributionpershareofcommonunits_label_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits" xlink: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 per share of common units</link:label>
    <link:label id="lab_cnp_Distributionpershareofcommonunits_documentation_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits" 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">Per share or per unit amount of distributions received from an equity method investment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnp_Distributionpershareofcommonunits" xlink:href="cnp-20200930.xsd#cnp_Distributionpershareofcommonunits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Distributionpershareofcommonunits" xlink:to="lab_cnp_Distributionpershareofcommonunits" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_4bbff8d8-b6ec-470b-90bd-7357b0e3296a_terseLabel_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract" xlink: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 Operations and Disposal Groups [Abstract]</link:label>
    <link:label id="lab_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_label_en-US" xlink:label="lab_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract" xlink: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 and Disposal Groups [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract" xlink:to="lab_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentContinuingOperationsMember_859343c7-4904-4a98-a2bf-20d18ca9f0b7_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentContinuingOperationsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Continuing Operations [Member]</link:label>
    <link:label id="lab_us-gaap_SegmentContinuingOperationsMember_label_en-US" xlink:label="lab_us-gaap_SegmentContinuingOperationsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Continuing Operations [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentContinuingOperationsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentContinuingOperationsMember"/>
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