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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2013-03-07</periodOfReport>

    <dateOfOriginalSubmission>2013-03-11</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001374535</issuerCik>
        <issuerName>Altra Holdings, Inc.</issuerName>
        <issuerTradingSymbol>AIMC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001243011</rptOwnerCik>
            <rptOwnerName>HURT MICHAEL L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>440 NORTH 5TH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHAMBERSBURG</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>17201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Executive Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value, $0.001</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2013-03-07</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2013-03-07</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>13218</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>26.47</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>59000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This Form 4/A corrects a Form 4 (SEC Accession No. 0001209191-13-015631 ) filed in error that erroneously stated the amount of shares sold, the resulting remaining amount of securities beneficially owned, and the range of sales prices.</footnote>
        <footnote id="F2">The number of securities reported represents an aggregate number of shares sold in multiple open market transactions over a range of sales prices. The price reported represents the weighted average price. The Reporting Person undertakes to provide the staff of the SEC, the issuer, or a stockholder of the issuer, upon request, the number of shares sold at each separate price within the range.</footnote>
        <footnote id="F3">Sales prices range from $26.45 to $26.52 per share, inclusive.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Todd Patriacca, Attorney-in-fact</signatureName>
        <signatureDate>2013-03-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
