<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-02-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001130310</issuerCik>
        <issuerName>CENTERPOINT ENERGY INC</issuerName>
        <issuerTradingSymbol>CNP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001526699</rptOwnerCik>
            <rptOwnerName>Prochazka Scott M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1111 LOUISIANA</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President &amp; CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-02-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>57227</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>31.21</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>342474</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7028</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Savings Plan</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Time-based restricted stock units vesting (i) in February 2022 if the Reporting Person continues to be an employee of Issuer from the grant date through the vesting date; (ii) in the event of his earlier disability or death; or (iii) on a pro-rata basis upon his earlier retirement unless he satisfies various conditions for full vesting.</footnote>
        <footnote id="F2">Total includes (i) 63,258 time-based restricted stock units (&quot;RSUs&quot;) previously awarded under the Issuer's Long-term Incentive Plan (the &quot;Plan&quot;) and vesting in February 2019, (ii) 54,115 RSUs previously awarded under the Plan and vesting in February 2020 and (iii) 61,515 RSUs previously awarded under the Plan and vesting in February 2021. The awards to vest in 2019 and 2020 shall vest if the Reporting Person continues to be an employee of Issuer from grant date through vesting date and on a pro-rata basis in the event of his earlier retirement, disability or death. The award to vest in 2021 shall vest (i) if he continues to be an employee of Issuer from grant date through vesting date and (ii) in the event of his disability or death. Also, the award to vest in 2021 shall vest on a pro-rata basis in the event of his retirement unless he satisfies various conditions for full vesting, as described in the Issuer's Proxy Statement filed with the SEC on March 15, 2018.</footnote>
        <footnote id="F3">Equivalent shares held in CenterPoint Energy, Inc. Savings Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By Vincent A. Mercaldi,
Attorney-in-Fact</signatureName>
        <signatureDate>2019-02-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
