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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued unbilled revenues</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accrued Unbilled Revenues</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accrued Unbilled Revenues</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationAccruedUnbilledRevenues_BB39C26F82E053CAF85DC1FB50DABE4E" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_9A0786E36CB37BFDBDAAC1FB50DA21C9_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_9A0786E36CB37BFDBDAAC1FB50DA21C9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Natural gas inventory</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_9A0786E36CB37BFDBDAAC1FB50DA21C9_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_9A0786E36CB37BFDBDAAC1FB50DA21C9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Inventory, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationInventoryCurrent_9A0786E36CB37BFDBDAAC1FB50DA21C9" xlink:type="locator" />
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Materials and supplies</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Materials and Supplies</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Materials and Supplies</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationMaterialsandSupplies_5510D4870BD8001EA7D2C1FB50DBB5F5" xlink:type="locator" />
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets_3369E971FB80A9E27649C1FB50DB58D9_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets_3369E971FB80A9E27649C1FB50DB58D9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-trading derivative assets</link:label>
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets_3369E971FB80A9E27649C1FB50DB58D9_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets_3369E971FB80A9E27649C1FB50DB58D9" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative assets</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassets_3369E971FB80A9E27649C1FB50DB58D9" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_F60EE348E7395FF31C0BC1FB50DB238D_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_F60EE348E7395FF31C0BC1FB50DB238D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_F60EE348E7395FF31C0BC1FB50DB238D_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_F60EE348E7395FF31C0BC1FB50DB238D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Other Assets, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentAssets_F60EE348E7395FF31C0BC1FB50DB238D" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_B54E850B333817941256C1FB50DBC740_totalLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_B54E850B333817941256C1FB50DBC740" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total current assets held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_B54E850B333817941256C1FB50DBC740_label_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_B54E850B333817941256C1FB50DBC740" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_B54E850B333817941256C1FB50DBC740" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent_EBD3A883D86B3267649CC1FB50DB2D9A_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent_EBD3A883D86B3267649CC1FB50DB2D9A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, plant and equipment, net</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationPropertyPlantAndEquipmentNoncurrent_EBD3A883D86B3267649CC1FB50DB2D9A" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent_43D56DA42C0CCB4C0AACC1FB50DC4429_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent_43D56DA42C0CCB4C0AACC1FB50DC4429" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goodwill</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent_43D56DA42C0CCB4C0AACC1FB50DC4429_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent_43D56DA42C0CCB4C0AACC1FB50DC4429" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Goodwill, Noncurrent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationGoodwillNoncurrent_43D56DA42C0CCB4C0AACC1FB50DC4429" xlink:type="locator" />
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-trading derivative assets</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative assets, non-current</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative assets, non-current</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeassetsnoncurrent_AEACCD80CF020F3EDAFAC1FB50DC393D" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentAssets_D3D8E59D2C8D364E7792C1FB50DCEE0E" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_A29B4B473FAA3AA53427C1FB50DC150E_totalLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_A29B4B473FAA3AA53427C1FB50DC150E" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total non-current assets held for sale</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_A29B4B473FAA3AA53427C1FB50DC150E_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_A29B4B473FAA3AA53427C1FB50DC150E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets, Noncurrent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAssetsNoncurrent_A29B4B473FAA3AA53427C1FB50DC150E" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_B0432BA0525BAF970C2FC1FB50DC9E47_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_B0432BA0525BAF970C2FC1FB50DC9E47" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total assets held for sale</link:label>
    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_B0432BA0525BAF970C2FC1FB50DC9E47_label_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_B0432BA0525BAF970C2FC1FB50DC9E47" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Assets</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_B0432BA0525BAF970C2FC1FB50DC9E47" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounts payable</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accounts Payable</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccountsPayable_F5F8F28ABF3DDBF262F3C1FB50DC7E7B" xlink:type="arc" />
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes accrued</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Accrued Income Tax Payable</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6" xlink:to="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationAccruedIncomeTaxPayable_D46C1C36BF1A8B266180C1FB50DD15A6" xlink:type="arc" />
    <link:label id="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-trading derivative liabilities</link:label>
    <link:label id="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88_label_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Discontinued Operation, Non-trading derivative liabilities</link:label>
    <link:label id="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88_documentation_en-US" xlink:label="lab_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Discontinued Operation, Non-trading derivative liabilities</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities" xlink:label="loc_cnp_DisposalGroupDiscontinuedOperationNontradingderivativeliabilities_24F0ADCD5C76614FFAF1C1FB50DD7A88" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities_282D0A551E722D72E3E6C1FB50DDD3B0_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities_282D0A551E722D72E3E6C1FB50DDD3B0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities_282D0A551E722D72E3E6C1FB50DDD3B0_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities_282D0A551E722D72E3E6C1FB50DDD3B0" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Other Liabilities, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherCurrentLiabilities_282D0A551E722D72E3E6C1FB50DDD3B0" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent_0C794F9C24423B9106EAC1FB50DDCB89_totalLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent_0C794F9C24423B9106EAC1FB50DDCB89" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total current liabilities held for sale</link:label>
    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent_0C794F9C24423B9106EAC1FB50DDCB89_label_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent_0C794F9C24423B9106EAC1FB50DDCB89" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Liabilities, Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent" xlink:label="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationCurrent_0C794F9C24423B9106EAC1FB50DDCB89" xlink:type="locator" />
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    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421_terseLabel_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-trading derivative liabilities</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421_label_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative liabilities, non-current</link:label>
    <link:label id="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421_documentation_en-US" xlink:label="lab_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Non-trading derivative liabilities, non-current</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent" xlink:label="loc_cnp_DisposalGroupIncludingDiscontinuedOperationNontradingderivativeliabilitiesnoncurrent_021C3924436C1508B493C1FB50DDA421" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPensionPlanBenefitObligationNoncurrent_57F613018894A6A6D7B7C1FB50DE63C1_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationPensionPlanBenefitObligationNoncurrent_57F613018894A6A6D7B7C1FB50DE63C1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Benefit obligations</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationPensionPlanBenefitObligationNoncurrent" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationPensionPlanBenefitObligationNoncurrent_57F613018894A6A6D7B7C1FB50DE63C1" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities_9F9748E714F13E59D302C1FB50DE13D8_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities_9F9748E714F13E59D302C1FB50DE13D8" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities_9F9748E714F13E59D302C1FB50DE13D8_label_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities_9F9748E714F13E59D302C1FB50DE13D8" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Other Liabilities, Noncurrent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherNoncurrentLiabilities_9F9748E714F13E59D302C1FB50DE13D8" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent_645A755653EE1560FA5FC1FB50DE462E_totalLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent_645A755653EE1560FA5FC1FB50DE462E" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total non-current liabilities held for sale</link:label>
    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent_645A755653EE1560FA5FC1FB50DE462E_label_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent_645A755653EE1560FA5FC1FB50DE462E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Liabilities, Noncurrent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent" xlink:label="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperationNoncurrent_645A755653EE1560FA5FC1FB50DE462E" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_7A640AEF3D50FA6FB079C1FB50DEA39A_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_7A640AEF3D50FA6FB079C1FB50DEA39A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total liabilities held for sale</link:label>
    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_7A640AEF3D50FA6FB079C1FB50DEA39A_label_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_7A640AEF3D50FA6FB079C1FB50DEA39A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Liabilities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation" xlink:label="loc_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_7A640AEF3D50FA6FB079C1FB50DEA39A" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupNotDiscontinuedOperationIncomeStatementDisclosuresAbstract" xlink:label="loc_us-gaap_DisposalGroupNotDiscontinuedOperationIncomeStatementDisclosuresAbstract_CE36415625AA494540BFC1FB50DF1470" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue_E844CE48CD487947F79BC1FB50DF9453" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold_51ED2C9C32F54344754EC1FB50DF6D94_terseLabel_en-US" xlink:label="lab_us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold_51ED2C9C32F54344754EC1FB50DF6D94" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-utility cost of revenues</link:label>
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    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_8949E43D7668DF812D61BADE0507797B_terseLabel_en-US" xlink:label="lab_cnp_IndianaGasServiceTerritoryMember_8949E43D7668DF812D61BADE0507797B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Indiana Gas Service Territory [Member]</link:label>
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    <link:label id="lab_cnp_IndianaGasServiceTerritoryMember_8949E43D7668DF812D61BADE0507797B_documentation_en-US" xlink:label="lab_cnp_IndianaGasServiceTerritoryMember_8949E43D7668DF812D61BADE0507797B" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the areas in Indiana serviced by Indiana Gas Service</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/srt/2019/elts/srt-2019-01-31.xsd#srt_RangeMember" xlink:label="loc_srt_RangeMember_E16017D0D1893931EEA8BADE05073258" xlink:type="locator" />
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    <link:label id="lab_srt_MinimumMember_0CF4763F7FA2FF31F58DBADE05085A7A_label_en-US" xlink:label="lab_srt_MinimumMember_0CF4763F7FA2FF31F58DBADE05085A7A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2019/elts/srt-2019-01-31.xsd#srt_MinimumMember" xlink:label="loc_srt_MinimumMember_0CF4763F7FA2FF31F58DBADE05085A7A" xlink:type="locator" />
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    <link:label id="lab_srt_MaximumMember_8CA089941DFEBCB6AA51BADE05083A55_label_en-US" xlink:label="lab_srt_MaximumMember_8CA089941DFEBCB6AA51BADE05083A55" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2019/elts/srt-2019-01-31.xsd#srt_MaximumMember" xlink:label="loc_srt_MaximumMember_8CA089941DFEBCB6AA51BADE05083A55" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PurchaseObligationFiscalYearMaturityAbstract" xlink:label="loc_us-gaap_PurchaseObligationFiscalYearMaturityAbstract_B8BF362E31696A9CF0D8BADE05088E8A" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_FEA0BB94CBD678FDBA0DBADE05091B43_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_FEA0BB94CBD678FDBA0DBADE05091B43" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Remaining six months of 2020</link:label>
    <link:label id="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_FEA0BB94CBD678FDBA0DBADE05091B43_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_FEA0BB94CBD678FDBA0DBADE05091B43" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase Obligation, Future Minimum Payments, Remainder of Fiscal Year</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear" xlink:label="loc_us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_FEA0BB94CBD678FDBA0DBADE05091B43" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths_28A4D2AE01213930891DBADE050904B6_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInNextTwelveMonths_28A4D2AE01213930891DBADE050904B6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2021</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PurchaseObligationDueInNextTwelveMonths" xlink:label="loc_us-gaap_PurchaseObligationDueInNextTwelveMonths_28A4D2AE01213930891DBADE050904B6" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PurchaseObligationDueInSecondYear_7DCFB3E4BAF184AF1C6BBADE05096AB2_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInSecondYear_7DCFB3E4BAF184AF1C6BBADE05096AB2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2022</link:label>
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    <link:label id="lab_us-gaap_PurchaseObligationDueInThirdYear_46EF90D061B72DA537E1BADE05096FA2_terseLabel_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueInThirdYear_46EF90D061B72DA537E1BADE05096FA2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2023</link:label>
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    <link:label id="lab_us-gaap_PurchaseObligationDueAfterFifthYear_870346D4B9ADE0A6E090BADE050AEBF5_label_en-US" xlink:label="lab_us-gaap_PurchaseObligationDueAfterFifthYear_870346D4B9ADE0A6E090BADE050AEBF5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase Obligation, Due after Fifth Year</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PurchaseObligationDueAfterFifthYear" xlink:label="loc_us-gaap_PurchaseObligationDueAfterFifthYear_870346D4B9ADE0A6E090BADE050AEBF5" xlink:type="locator" />
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    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF_label_en-US" xlink:label="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Guarantees &amp; Product Warranties [Abstract]</link:label>
    <link:label id="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF_documentation_en-US" xlink:label="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance Guarantees &amp; Product Warranties [Abstract]</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_PerformanceGuaranteesProductWarrantiesAbstract" xlink:label="loc_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF" xlink:to="lab_cnp_PerformanceGuaranteesProductWarrantiesAbstract_1A5E66EA8414325EAC5DBADE050A09EF" xlink:type="arc" />
    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA_terseLabel_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of surety bond obligations outstanding</link:label>
    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA_label_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of surety bond obligations outstanding</link:label>
    <link:label id="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA_documentation_en-US" xlink:label="lab_cnp_Numberofsuretybondobligationsoutstanding_A3CC94D3E7604065FE07BADE050AB3DA" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the absolute number of surety bonds the wholly owned subsidiary has outstanding in its role as general contractor</link:label>
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    <link:label id="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD_terseLabel_en-US" xlink:label="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance guarantee obligations outstanding face amount</link:label>
    <link:label id="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD_label_en-US" xlink:label="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance guarantee obligations outstanding face amount</link:label>
    <link:label id="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD_documentation_en-US" xlink:label="lab_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Face amount of individual surety bonds the wholly-owned subsidiary has outstanding</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_Performanceguaranteeobligationsoutstandingfaceamount" xlink:label="loc_cnp_Performanceguaranteeobligationsoutstandingfaceamount_9B70A5343E1FA3810E60BADE050BB4AD" xlink:type="locator" />
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    <link:label id="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_5BBEE343DB8ACD0AA77EBADE050B2217_terseLabel_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_5BBEE343DB8ACD0AA77EBADE050B2217" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" 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_5BBEE343DB8ACD0AA77EBADE050B2217_label_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_5BBEE343DB8ACD0AA77EBADE050B2217" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" 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_5BBEE343DB8ACD0AA77EBADE050B2217_documentation_en-US" xlink:label="lab_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_5BBEE343DB8ACD0AA77EBADE050B2217" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of work yet to be completed by wholly owned subsidiary on projects with open surety bonds.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds" xlink:label="loc_cnp_Percentageofworkyettobecompletedonprojectswithopensuretybonds_5BBEE343DB8ACD0AA77EBADE050B2217" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GuaranteeObligationsMaximumExposure_B7B9139B5E8FA213CB6ABADE050B7C89_terseLabel_en-US" xlink:label="lab_us-gaap_GuaranteeObligationsMaximumExposure_B7B9139B5E8FA213CB6ABADE050B7C89" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Guarantor obligations, maximum exposure, undiscounted</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GuaranteeObligationsMaximumExposure" xlink:label="loc_us-gaap_GuaranteeObligationsMaximumExposure_B7B9139B5E8FA213CB6ABADE050B7C89" xlink:type="locator" />
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    <link:label id="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_7C7E423E445C2512CEA4BADE050BD63A_terseLabel_en-US" xlink:label="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_7C7E423E445C2512CEA4BADE050BD63A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Quarterly increase of fee received for retained CES guarantee exposure</link:label>
    <link:label id="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_7C7E423E445C2512CEA4BADE050BD63A_label_en-US" xlink:label="lab_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_7C7E423E445C2512CEA4BADE050BD63A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Annualized fee received for retained CES obligation guarantees</link:label>
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    <link:loc xlink:href="cnp-20200630.xsd#cnp_AnnualizedfeereceivedforretainedCESobligationguarantees" xlink:label="loc_cnp_AnnualizedfeereceivedforretainedCESobligationguarantees_7C7E423E445C2512CEA4BADE050BD63A" xlink:type="locator" />
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    <link:loc xlink:href="cnp-20200630.xsd#cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure" xlink:label="loc_cnp_QuarterlyincreaseoffeereceivedforretainedCESguaranteeexposure_9D38E3B6C4D3E7702A0DBADE050B35FF" xlink:type="locator" />
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    <link:loc xlink:href="cnp-20200630.xsd#cnp_EstimatedRemainingExposure" xlink:label="loc_cnp_EstimatedRemainingExposure_36BEF199AC1851A18425BADE050BD5D9" xlink:type="locator" />
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    <link:label id="lab_us-gaap_EnvironmentalRemediationObligationsAbstract_67E26551F6E66BD036A3BADE050C5D78_terseLabel_en-US" xlink:label="lab_us-gaap_EnvironmentalRemediationObligationsAbstract_67E26551F6E66BD036A3BADE050C5D78" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal, Environmental and Other Matters</link:label>
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    <link:label id="lab_cnp_ContestedAmountOfFinesImposed_84370F20D060DB8AC189BADE050CB5A1_terseLabel_en-US" xlink:label="lab_cnp_ContestedAmountOfFinesImposed_84370F20D060DB8AC189BADE050CB5A1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contested amount of fines imposed</link:label>
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    <link:loc xlink:href="cnp-20200630.xsd#cnp_PreviousDividendorDistributionMember" xlink:label="loc_cnp_PreviousDividendorDistributionMember_7E7EBDB7277ADC92C384C159D25AD762" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PreferredStockDividendsAndOtherAdjustments" xlink:label="loc_us-gaap_PreferredStockDividendsAndOtherAdjustments_8F7001EB65746A612718C159D262E922" xlink:type="locator" />
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    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702_terseLabel_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702_label_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:label id="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702_documentation_en-US" xlink:label="lab_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accumulated Other Comprehensive Income (Loss) [Roll Forward]</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_AccumulatedOtherComprehensiveIncomeLossRollForward" xlink:label="loc_cnp_AccumulatedOtherComprehensiveIncomeLossRollForward_55D6F1693CC9BF3F80C0C159D262C702" xlink:type="locator" />
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_0F89CA3B4BF806A3BD2EC159D2638016_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_0F89CA3B4BF806A3BD2EC159D2638016" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Deferred gain (loss) from interest rate derivatives (1)</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_0F89CA3B4BF806A3BD2EC159D2638016_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_0F89CA3B4BF806A3BD2EC159D2638016" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Comprehensive Income (Loss), before Reclassifications, before Tax</link:label>
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    <link:label id="lab_cnp_Othercomprehensivelossfromunconsolidatedaffiliatesnetoftax_8E0372B56FEE57758869C159D2636AFB_negatedLabel_en-US" xlink:label="lab_cnp_Othercomprehensivelossfromunconsolidatedaffiliatesnetoftax_8E0372B56FEE57758869C159D2636AFB" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Other comprehensive loss from unconsolidated affiliates, net of tax</link:label>
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    <link:label id="lab_cnp_Othercomprehensivelossfromunconsolidatedaffiliatesnetoftax_8E0372B56FEE57758869C159D2636AFB_documentation_en-US" xlink:label="lab_cnp_Othercomprehensivelossfromunconsolidatedaffiliatesnetoftax_8E0372B56FEE57758869C159D2636AFB" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other comprehensive loss from unconsolidated affiliates, net of tax</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_00620476FF2263191142C159D2639034_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_00620476FF2263191142C159D2639034" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prior service cost (2)</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_00620476FF2263191142C159D2639034_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_00620476FF2263191142C159D2639034" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax_00620476FF2263191142C159D2639034" xlink:type="locator" />
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax_EC9752D3BD9EB710DA54C159D263DA98_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax_EC9752D3BD9EB710DA54C159D263DA98" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Actuarial losses (2)</link:label>
    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax_EC9752D3BD9EB710DA54C159D263DA98_label_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetGainLossBeforeTax_EC9752D3BD9EB710DA54C159D263DA98" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, before Tax</link:label>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationBeforeTax_09A18C36553A7012FE64C159D2641624_terseLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationBeforeTax_09A18C36553A7012FE64C159D2641624" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reclassification of deferred loss from cash flow hedges realized in net income</link:label>
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    <link:label id="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3_7CEADEA59C3813C23F5CC159D264DAEB_terseLabel_en-US" xlink:label="lab_cnp_Reclassificationofnetdeferredlossfromcashflowhedges3_7CEADEA59C3813C23F5CC159D264DAEB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reclassification of net deferred loss from cash flow hedges (3)</link:label>
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    <link:loc xlink:href="cnp-20200630.xsd#cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember" xlink:label="loc_cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember_0382DA9650526E38AEB1C1BD26077C2E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember_0382DA9650526E38AEB1C1BD26077C2E" xlink:to="lab_cnp_AccountsandnotesreceivablepayableaffiliatecompaniesMember_0382DA9650526E38AEB1C1BD26077C2E" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis_AFCE942D90F4E3944D57C1BD26073943" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionDomain" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain_084C8B555917F763BED6C1BD260718A7" xlink:type="arc" />
    <link:label id="lab_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments [Member]</link:label>
    <link:label id="lab_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5_label_en-US" xlink:label="lab_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InvestmentsMember" xlink:label="loc_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5" xlink:to="lab_us-gaap_InvestmentsMember_44DC6AD1679EF67C11E8C1BD2607FEB5" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D" xlink:to="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_EE863BE763AD942347C4C1BD2609140D" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF_label_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyDomain" xlink:label="loc_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF" xlink:to="lab_us-gaap_RelatedPartyDomain_6DD325885B3FD944887CC1BD2609AEFF" xlink:type="arc" />
    <link:label id="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1_terseLabel_en-US" xlink:label="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CenterPoint Energy [Member]</link:label>
    <link:label id="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1_label_en-US" xlink:label="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CenterPoint Energy [Member]</link:label>
    <link:label id="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1_documentation_en-US" xlink:label="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" 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:href="cnp-20200630.xsd#cnp_CenterpointEnergyMember" xlink:label="loc_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:to="lab_cnp_CenterpointEnergyMember_468113C6CD11538C6A8AC1BD260AD6D1" xlink:type="arc" />
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8_terseLabel_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operation and maintenance expense [Member]</link:label>
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8_label_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operation And Maintenance Expense Member</link:label>
    <link:label id="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8_documentation_en-US" xlink:label="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amount of share-based compensation cost reported in the period, allocated to operations and maintenance expense. Operations and maintenance expense are the costs associated with normal operations, including general and administrative expenses, and routine plant maintenance and repairs.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_OperationAndMaintenanceExpenseMember" xlink:label="loc_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:to="lab_cnp_OperationAndMaintenanceExpenseMember_9CEE50C04FE690C17CFDC1BD260A4CD8" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionLineItems" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C" xlink:to="lab_us-gaap_RelatedPartyTransactionLineItems_BA8FAB139B99E2C61750C1BD260B450C" xlink:type="arc" />
    <link:label id="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF_terseLabel_en-US" xlink:label="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money pool investments (borrowings) (1)</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF_label_en-US" xlink:label="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Pool Investments</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF_documentation_en-US" xlink:label="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents investments in the parent company's money pool.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_MoneyPoolInvestments" xlink:label="loc_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:to="lab_cnp_MoneyPoolInvestments_1E510E76B3A518C817A1C1BD260B36DF" xlink:type="arc" />
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB_terseLabel_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average interest rate</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB_label_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Pool Investments Weighted Average Interest Rate</link:label>
    <link:label id="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB_documentation_en-US" xlink:label="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Weighted average interest rate of outstanding investments in money pool.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_MoneyPoolInvestmentsWeightedAverageInterestRate" xlink:label="loc_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:to="lab_cnp_MoneyPoolInvestmentsWeightedAverageInterestRate_D6880AC4D6C6735618DEC1BD260B4EAB" xlink:type="arc" />
    <link:label id="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409_terseLabel_en-US" xlink:label="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income (expense) (1)</link:label>
    <link:label id="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409_label_en-US" xlink:label="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income (Expense) Net, Related Party</link:label>
    <link:label id="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409_documentation_en-US" xlink:label="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net interest income (expense) related to affiliate investments or borrowings</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_InterestIncomeExpenseNetRelatedParty" xlink:label="loc_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:to="lab_cnp_InterestIncomeExpenseNetRelatedParty_F79B906961D3C39F179EC1BD260B9409" xlink:type="arc" />
    <link:label id="lab_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Corporate service charges</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Selling, General and Administrative Expenses from Transactions with Related Party</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty" xlink:label="loc_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89" xlink:to="lab_us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty_26DAA628F22746224352C1BD260C7C89" xlink:type="arc" />
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099_terseLabel_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net affiliate service charges (billings)</link:label>
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099_label_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net affiliate service charges (billings)</link:label>
    <link:label id="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099_documentation_en-US" xlink:label="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" 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:href="cnp-20200630.xsd#cnp_Netaffiliateservicechargesbillings" xlink:label="loc_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:to="lab_cnp_Netaffiliateservicechargesbillings_D09047A0548CE9C39E61C1BD260CE099" xlink:type="arc" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesUnrealizedGainLossExcludingOtherThanTemporaryImpairments" xlink:label="loc_us-gaap_MarketableSecuritiesUnrealizedGainLossExcludingOtherThanTemporaryImpairments_4084FC993E535F457FD1C1A3575CB957" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketableSecuritiesUnrealizedGainLossExcludingOtherThanTemporaryImpairments_4084FC993E535F457FD1C1A3575CB957" xlink:to="lab_us-gaap_MarketableSecuritiesUnrealizedGainLossExcludingOtherThanTemporaryImpairments_4084FC993E535F457FD1C1A3575CB957" xlink:type="arc" />
    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697_negatedTerseLabel_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Loss (gain) on indexed debt securities</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697_label_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Indexed Debt Securities, Gain (Loss)</link:label>
    <link:label id="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697_documentation_en-US" xlink:label="lab_cnp_IndexedDebtSecuritiesGainLoss_ECD52A50C87B05902B30C1A3575DD697" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" 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>
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    <link:label id="lab_us-gaap_InventoryWriteDown_99CA1B732A3B4E2E6278C1A3575D5C00_terseLabel_en-US" xlink:label="lab_us-gaap_InventoryWriteDown_99CA1B732A3B4E2E6278C1A3575D5C00" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Write-down of natural gas inventory</link:label>
    <link:label id="lab_us-gaap_InventoryWriteDown_99CA1B732A3B4E2E6278C1A3575D5C00_label_en-US" xlink:label="lab_us-gaap_InventoryWriteDown_99CA1B732A3B4E2E6278C1A3575D5C00" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Inventory Write-down</link:label>
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    <link:label id="lab_us-gaap_IncomeLossFromEquityMethodInvestments_7B1F36BFFCADE1B72698C1A3575DC9E6_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromEquityMethodInvestments_7B1F36BFFCADE1B72698C1A3575DC9E6" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Equity in (earnings) losses of unconsolidated affiliates</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromEquityMethodInvestments_7B1F36BFFCADE1B72698C1A3575DC9E6_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromEquityMethodInvestments_7B1F36BFFCADE1B72698C1A3575DC9E6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income (Loss) from Equity Method Investments</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeLossFromEquityMethodInvestments" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_7B1F36BFFCADE1B72698C1A3575DC9E6" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PensionContributions_C3B4E681D7ABA07E4970C1A3575E01A3_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PensionContributions_C3B4E681D7ABA07E4970C1A3575E01A3" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Pension contributions</link:label>
    <link:label id="lab_us-gaap_PensionContributions_C3B4E681D7ABA07E4970C1A3575E01A3_label_en-US" xlink:label="lab_us-gaap_PensionContributions_C3B4E681D7ABA07E4970C1A3575E01A3" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Pension Benefits</link:label>
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    <link:label id="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_88D63A57FAD601CFF676C1A3575EE5A8_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_88D63A57FAD601CFF676C1A3575EE5A8" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in other assets and liabilities, excluding acquisitions:</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromShortTermDebt_91985EE0EB9D695F8B87C1A3576469FF_label_en-US" xlink:label="lab_us-gaap_ProceedsFromShortTermDebt_91985EE0EB9D695F8B87C1A3576469FF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Short-term Debt</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromRepaymentsOfCommercialPaper_D7E417BB3F932FEE786FC1A35765FC17_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromRepaymentsOfCommercialPaper_D7E417BB3F932FEE786FC1A35765FC17" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from (payments of) commercial paper, net</link:label>
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    <link:label id="lab_us-gaap_OtherLiabilitiesCurrent_9E3449BA74342BE8E03CBA4DF53FADE0_label_en-US" xlink:label="lab_us-gaap_OtherLiabilitiesCurrent_9E3449BA74342BE8E03CBA4DF53FADE0" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Liabilities, Current</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesCurrent_BB7CF636B57F83105C49BA4DF53F58E9_totalLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrent_BB7CF636B57F83105C49BA4DF53F58E9" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total current liabilities</link:label>
    <link:label id="lab_us-gaap_LiabilitiesCurrent_BB7CF636B57F83105C49BA4DF53F58E9_label_en-US" xlink:label="lab_us-gaap_LiabilitiesCurrent_BB7CF636B57F83105C49BA4DF53F58E9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities, Current</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesNoncurrentAbstract_A3F670D55D5D4887C03DBA4DF540B0E3_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesNoncurrentAbstract_A3F670D55D5D4887C03DBA4DF540B0E3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Liabilities:</link:label>
    <link:label id="lab_us-gaap_LiabilitiesNoncurrentAbstract_A3F670D55D5D4887C03DBA4DF540B0E3_label_en-US" xlink:label="lab_us-gaap_LiabilitiesNoncurrentAbstract_A3F670D55D5D4887C03DBA4DF540B0E3" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities, Noncurrent [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesNoncurrentAbstract" xlink:label="loc_us-gaap_LiabilitiesNoncurrentAbstract_A3F670D55D5D4887C03DBA4DF540B0E3" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_8D0C168F22190FA14EC5BA4DF54024D5_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_8D0C168F22190FA14EC5BA4DF54024D5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Income Tax Liabilities, Net</link:label>
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    <link:label id="lab_us-gaap_DerivativeLiabilitiesNoncurrent_FE8A55828CCF356B9E19BA4DF540820D_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilitiesNoncurrent_FE8A55828CCF356B9E19BA4DF540820D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability, Noncurrent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeLiabilitiesNoncurrent" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_FE8A55828CCF356B9E19BA4DF540820D" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LiabilitiesOtherThanLongtermDebtNoncurrent_F1E10A817A492AB0E7AFBA4DF5414F2C_label_en-US" xlink:label="lab_us-gaap_LiabilitiesOtherThanLongtermDebtNoncurrent_F1E10A817A492AB0E7AFBA4DF5414F2C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities, Other than Long-term Debt, Noncurrent</link:label>
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    <link:label id="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent_E70C885C2F8AEBC93519BA4DF541E9D9_terseLabel_en-US" xlink:label="lab_cnp_TransitionAndSystemRestorationBondsLongTermDebtNonCurrent_E70C885C2F8AEBC93519BA4DF541E9D9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">VIE Securitization Bonds, net</link:label>
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    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_D007CC85C69B1C3F0FF4C12BD29BB0E3_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares_D007CC85C69B1C3F0FF4C12BD29BB0E3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Balance of investment owned (in shares)</link:label>
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    <link:label id="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue_62151786721CE36C171FC12BD29C2E82_documentation_en-US" xlink:label="lab_cnp_SubordinatedNoteCashExchangeablePercentageOfFairValue_62151786721CE36C171FC12BD29C2E82" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" 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>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_A0C6AC320A7E9D20CD87C12BD2A1C61C" xlink:type="locator" />
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    <link:label id="lab_cnp_TargetAnnualYieldOnReferenceShares_68F25622BCE9263B6068C12BD2A2733E_label_en-US" xlink:label="lab_cnp_TargetAnnualYieldOnReferenceShares_68F25622BCE9263B6068C12BD2A2733E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Target Annual Yield On Reference Shares</link:label>
    <link:label id="lab_cnp_TargetAnnualYieldOnReferenceShares_68F25622BCE9263B6068C12BD2A2733E_documentation_en-US" xlink:label="lab_cnp_TargetAnnualYieldOnReferenceShares_68F25622BCE9263B6068C12BD2A2733E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The target annual yield from interest and cash dividends on reference shares, before any adjustment to increase or decrease principal amount of subordinated note is made.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_TargetAnnualYieldOnReferenceShares" xlink:label="loc_cnp_TargetAnnualYieldOnReferenceShares_68F25622BCE9263B6068C12BD2A2733E" xlink:type="locator" />
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    <link:label id="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_A42E2A606DED7D40DC63C12BD2A2917E_terseLabel_en-US" xlink:label="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_A42E2A606DED7D40DC63C12BD2A2917E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of shares referenced in exchangeable subordinated note</link:label>
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    <link:label id="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_A42E2A606DED7D40DC63C12BD2A2917E_documentation_en-US" xlink:label="lab_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_A42E2A606DED7D40DC63C12BD2A2917E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of shares attributable to each note and referenced in determining the fair value of the cash to be exchange at behest of note holder.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote" xlink:label="loc_cnp_NumberOfSharesReferencedInExchangeableSubordinatedNote_A42E2A606DED7D40DC63C12BD2A2917E" xlink:type="locator" />
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    <link:label id="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_80CEA7598B3E40D32C59C12BD2A2C7D2_terseLabel_en-US" xlink:label="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_80CEA7598B3E40D32C59C12BD2A2C7D2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contingent principal amount outstanding</link:label>
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    <link:label id="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_80CEA7598B3E40D32C59C12BD2A2C7D2_documentation_en-US" xlink:label="lab_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_80CEA7598B3E40D32C59C12BD2A2C7D2" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amount of outstanding contingent principal under the zero premium exchangeable subordinated notes contract contingent principal clause.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DebtInstrumentContingentPrincipalAmountOutstanding" xlink:label="loc_cnp_DebtInstrumentContingentPrincipalAmountOutstanding_80CEA7598B3E40D32C59C12BD2A2C7D2" xlink:type="locator" />
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    <link:label id="lab_cnp_ScheduleofMoneyPoolInvestmentandBorrowingTableTextBlock_D75CA74163EB8E8E9D16E5E6353BA3DD_terseLabel_en-US" xlink:label="lab_cnp_ScheduleofMoneyPoolInvestmentandBorrowingTableTextBlock_B06E0828365958348F8712819A54C123" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Money Pool Investment and Borrowing [Table Text Block]</link:label>
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    <link:label id="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803_terseLabel_en-US" xlink:label="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Enable Units [Abstract]</link:label>
    <link:label id="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803_label_en-US" xlink:label="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Enable Units [Abstract]</link:label>
    <link:label id="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803_documentation_en-US" xlink:label="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Enable Units [Abstract]</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_EnableUnitsAbstract" xlink:label="loc_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:to="lab_cnp_EnableUnitsAbstract_7F47CB24939DDC19A3F1B7490411B803" xlink:type="arc" />
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4_terseLabel_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited partner interest units held</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4_label_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Method Investment, Ownership, Shares</link:label>
    <link:label id="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4_documentation_en-US" xlink:label="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Method Investment, Ownership, Shares</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_EquityMethodInvestmentOwnershipShares" xlink:label="loc_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:to="lab_cnp_EquityMethodInvestmentOwnershipShares_0DB3F85C8DB7294580B3B7490411EBB4" xlink:type="arc" />
    <link:label id="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498_terseLabel_en-US" xlink:label="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited partner interest units held</link:label>
    <link:label id="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498_label_en-US" xlink:label="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Interest Entity, Ownership, Shares</link:label>
    <link:label id="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498_documentation_en-US" xlink:label="lab_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the number of shares owned of the variable interest entity as of the balance sheet date</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_VariableInterestEntityOwnershipShares" xlink:label="loc_cnp_VariableInterestEntityOwnershipShares_7B1415895FAA849F216EB74904111498" xlink:type="locator" />
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    <link:label id="lab_cnp_PreferredUnitsHeld_E552BB602A8173D2F09EB74904117D82_terseLabel_en-US" xlink:label="lab_cnp_PreferredUnitsHeld_E552BB602A8173D2F09EB74904117D82" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred Units Held</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_PreferredUnitsHeld" xlink:label="loc_cnp_PreferredUnitsHeld_E552BB602A8173D2F09EB74904117D82" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_PreferredUnitsHeld_E552BB602A8173D2F09EB74904117D82" xlink:to="lab_cnp_PreferredUnitsHeld_E552BB602A8173D2F09EB74904117D82" xlink:type="arc" />
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Method Investments, Fair Value Disclosure</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Method Investments, Fair Value Disclosure</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:label="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8" xlink:to="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_E9FB1FFEA54C0E8521BDB7490412EED8" xlink:type="arc" />
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E_terseLabel_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of sales that trigger right of first refusal</link:label>
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E_label_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Units, Percentage, Trigger Right of First Refusal</link:label>
    <link:label id="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E_documentation_en-US" xlink:label="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sale of more than this percentage of aggregated common and subordinated units owned are subject to mutual rights of first offer and first refusal.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal" xlink:label="loc_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:to="lab_cnp_SaleofUnitsPercentageTriggerRightofFirstRefusal_D56173D5E4892923632BB7490412E38E" xlink:type="arc" />
    <link:label id="lab_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive distribution per unit</link:label>
    <link:label id="lab_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68_label_en-US" xlink:label="lab_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Distribution, Distribution Per Unit</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncentiveDistributionDistributionPerUnit" xlink:label="loc_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68" xlink:to="lab_us-gaap_IncentiveDistributionDistributionPerUnit_58F7B81AA1842DD1DA56B74904123E68" xlink:type="arc" />
    <link:label id="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096_terseLabel_en-US" xlink:label="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum incentive distribution right</link:label>
    <link:label id="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096_label_en-US" xlink:label="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Distribution Right, Maximum</link:label>
    <link:label id="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096_documentation_en-US" xlink:label="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Maximum additional incentive right to the general partner with quarterly distribution per unit exceeding $0.330625</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_IncentiveDistributionRightMaximum" xlink:label="loc_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:to="lab_cnp_IncentiveDistributionRightMaximum_C2EB38AAA1602C116B1FB74904132096" xlink:type="arc" />
    <link:label id="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6_terseLabel_en-US" xlink:label="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Enable Distributions [Abstract]</link:label>
    <link:label id="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6_label_en-US" xlink:label="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Enable Distributions [Abstract]</link:label>
    <link:label id="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6_documentation_en-US" xlink:label="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Enable Distributions [Abstract]</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_EnableDistributionsAbstract" xlink:label="loc_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:to="lab_cnp_EnableDistributionsAbstract_0E10E2DCCA9051487D0BB7490413A8E6" xlink:type="arc" />
    <link:label id="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835_terseLabel_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution per share of common units</link:label>
    <link:label id="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835_label_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution per share of common units</link:label>
    <link:label id="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835_documentation_en-US" xlink:label="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Per share or per unit amount of distributions received from an equity method investment.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_Distributionpershareofcommonunits" xlink:label="loc_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:to="lab_cnp_Distributionpershareofcommonunits_A5F1F83FBE5B41946707B74904135835" xlink:type="arc" />
    <link:label id="lab_cnp_CostMethodInvestmentDividendsOrDistributions_32155398E625C9F546C8B74904141858_terseLabel_en-US" xlink:label="lab_cnp_CostMethodInvestmentDividendsOrDistributions_32155398E625C9F546C8B74904141858" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions received from Enable cost method investment</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_CostMethodInvestmentDividendsOrDistributions" xlink:label="loc_cnp_CostMethodInvestmentDividendsOrDistributions_32155398E625C9F546C8B74904141858" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_CostMethodInvestmentDividendsOrDistributions_32155398E625C9F546C8B74904141858" xlink:to="lab_cnp_CostMethodInvestmentDividendsOrDistributions_32155398E625C9F546C8B74904141858" xlink:type="arc" />
    <link:label id="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9_terseLabel_en-US" xlink:label="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution per share of Series A preferred units</link:label>
    <link:label id="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9_label_en-US" xlink:label="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution per share of Series A preferred units</link:label>
    <link:label id="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9_documentation_en-US" xlink:label="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Per share or per unit amount of distributions received from Enable Series A preferred units cost method investment.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_DistributionpershareofSeriesApreferredunits" xlink:label="loc_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:to="lab_cnp_DistributionpershareofSeriesApreferredunits_E0CB949A745964B344DBB749041419F9" xlink:type="arc" />
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB_terseLabel_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total distributions received from Enable</link:label>
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB_label_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total distributions received from Enable</link:label>
    <link:label id="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB_documentation_en-US" xlink:label="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the total amount of distributions received related to both equity method investments and cost method investments from Enable.</link:label>
    <link:loc xlink:href="cnp-20200630.xsd#cnp_TotaldistributionsreceivedfromEnable" xlink:label="loc_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:to="lab_cnp_TotaldistributionsreceivedfromEnable_ECAA4033AC64C5118A0DB749041493DB" xlink:type="arc" />
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract_318C757278E14659ED7BB4C5D7D499C1_label_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract_318C757278E14659ED7BB4C5D7D499C1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]</link:label>
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    <link:label id="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_237D088D47C77ADC1037B4C5D7D4B08F_terseLabel_en-US" xlink:label="lab_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_237D088D47C77ADC1037B4C5D7D4B08F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Remaining six months of 2020</link:label>
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    <link:label id="lab_us-gaap_RatioOfIndebtednessToNetCapital1_F62E898AB14B7483AE56C1B52D3AF2F0_terseLabel_en-US" xlink:label="lab_us-gaap_RatioOfIndebtednessToNetCapital1_F62E898AB14B7483AE56C1B52D3AF2F0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of indebtedness to net capital</link:label>
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    <link:label id="lab_cnp_RestorationCostExpectedCost_47F05683CE11D187E18CC1B52D3A8FB0_verboseLabel_en-US" xlink:label="lab_cnp_RestorationCostExpectedCost_47F05683CE11D187E18CC1B52D3A8FB0" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" 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_Creditfacilityswinglinesublimit_2467826D82D2C3EFB75CC1B52D3A608B_terseLabel_en-US" xlink:label="lab_cnp_Creditfacilityswinglinesublimit_2467826D82D2C3EFB75CC1B52D3A608B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit facility swing line sublimit</link:label>
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