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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-02-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001381531</issuerCik>
        <issuerName>Domtar CORP</issuerName>
        <issuerTradingSymbol>UFS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001453133</rptOwnerCik>
            <rptOwnerName>Williams John David</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O DOMTAR CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>234 KINGSLEY PARK DRIVE</rptOwnerStreet2>
            <rptOwnerCity>FORT MILL</rptOwnerCity>
            <rptOwnerState>SC</rptOwnerState>
            <rptOwnerZipCode>29715</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Common Stock</value>
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                <value></value>
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                </transactionShares>
                <transactionPricePerShare>
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            <ownershipNature>
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                </transactionPricePerShare>
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                </sharesOwnedFollowingTransaction>
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        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
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                <transactionPricePerShare>
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            <exerciseDate>
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            <expirationDate>
                <value>2017-02-21</value>
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                <underlyingSecurityTitle>
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                </underlyingSecurityTitle>
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                </underlyingSecurityShares>
            </underlyingSecurity>
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        </derivativeTransaction>
        <derivativeTransaction>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
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                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
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                <transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F2"/>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22436.47</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance Stock Units</value>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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                <transactionPricePerShare>
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                    <value>D</value>
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        <derivativeTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Options (Right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>39.81</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-02-21</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>50534</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
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                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2024-02-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>50534</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>50534</value>
                </sharesOwnedFollowingTransaction>
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                    <value>D</value>
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        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each Stock Unit is the economic equivalent of one share of Domtar Corporation Common Stock.</footnote>
        <footnote id="F2">Performance Stock Units (PSUs) for which performance goals have been achieved. These PSUs will vest on February 20, 2018, subject to continued service.</footnote>
        <footnote id="F3">Performance Stock Units (PSUs) for which performance goals have been achieved. These PSUs will vest on February 19, 2019, subject to continued service.</footnote>
        <footnote id="F4">Restricted Stock Units vest on February 21, 2020, subject to continued service.</footnote>
        <footnote id="F5">The options vest in approximately equal annual installments on the first three anniversaries of the grant date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Razvan L. Theodoru, Attorney-in-fact for Mr. Williams</signatureName>
        <signatureDate>2017-02-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
