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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-03-09</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001823144</issuerCik>
        <issuerName>CompoSecure, Inc.</issuerName>
        <issuerTradingSymbol>CMPO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001847224</rptOwnerCik>
            <rptOwnerName>McLaughlin Steven J.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1521 ALTON RD, #345</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MIAMI BEACH</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33139</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock, $0.0001 par value per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1500000</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reporting Person's amount of securities beneficially owned has remained unchanged since the closing of Issuer's SPAC merger with Roman DBDR Tech Acquisition Corp. Reporting Person's beneficial ownership increased to 10.05% as a result of a reduction in Issuer's outstanding Class A Common Stock on March 9, 2022. Reporting Person's beneficial ownership decreased to 9.92% as a result of an increase in Issuer's Class A Common Stock. As of the date of this filing, based on Issuer's Class A Common Stock outstanding as disclosed on its Form 10-Q filed November 4, 2022, Reporting Person's beneficial ownership has further decreased to 9.52%. Reporting Person has not engaged in any purchase or sale of CMPO Class A Common Stock since his initial purchase in connection with Issuer's SPAC merger with Roman DBDR Tech Acquisition Corp.</footnote>
        <footnote id="F2">All of Reporting Person's beneficially owned Class A Common Stock is held indirectly through investment vehicles owned by the Steven J. McLaughlin Revocable Trust, of which Reporting Person is the sole trustee.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Steven J. McLaughlin</signatureName>
        <signatureDate>2022-12-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
