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

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-08-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001345126</issuerCik>
        <issuerName>Compass Diversified Holdings</issuerName>
        <issuerTradingSymbol>CODI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001361035</rptOwnerCik>
            <rptOwnerName>Ewing D Eugene</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>SIXTY ONE WILTON ROAD</rptOwnerStreet1>
            <rptOwnerStreet2>SECOND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>WESTPORT</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06880</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remark (a)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Shares</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2009-08-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>302</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>9.0199</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                    <footnoteId id="F2"/>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>20995</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Shares</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Spouse</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Each Share represents one undivided beneficial interest in Compass Diversified Holdings (the &quot;Trust&quot;) property and corresponds to one trust interest of Compass Group Diversified Holdings LLC held by the Trust.</footnote>
        <footnote id="F2">The purchases reported in this Form 4 were effected pursuant to a Rule 10b5-1 purchase plan adopted by Mr. Ewing on November 13, 2008.</footnote>
        <footnote id="F3">The purchase price reported in this Form 4 was between the range of $9.0 per share and $9.05 per share.  Full information regarding the number of shares purchased at each separate price will be provided upon request by the SEC staff, the issuer, or any security holder of the issuer.</footnote>
    </footnotes>

    <remarks>(a) Mr. Ewing is a Director of Compass Group Diversified Holdings LLC, Sponsor of the Trust.</remarks>

    <ownerSignature>
        <signatureName>/s/ D. Eugene Ewing, by James J. Bottiglieri as attorney-in-fact</signatureName>
        <signatureDate>2009-08-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
