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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-05-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001093082</issuerCik>
        <issuerName>HUTTIG BUILDING PRODUCTS INC</issuerName>
        <issuerTradingSymbol>HBP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001722700</rptOwnerCik>
            <rptOwnerName>Furio Robert</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HUTTIG BUILDING PRODUCTS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>555 MARYVILLE UNIVERSITY DR. SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>ST. LOUIS</rptOwnerCity>
            <rptOwnerState>MO</rptOwnerState>
            <rptOwnerZipCode>63141</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Executive VP &amp; COO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-05-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>U</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>324047</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.70</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This Form 4 reports securities disposed of pursuant to the terms of the Agreement and Plan of Merger (the &quot;Merger Agreement&quot;), dated as of March 20, 2022, by and among the Issuer, Woodgrain Inc., an Oregon corporation (&quot;Woodgrain&quot;), and HBP Merger Sub, Inc., a Delaware corporation and a wholly-owned subsidiary of Woodgrain (&quot;Merger Sub&quot;), pursuant to which Merger Sub completed a tender offer for shares of common stock of the Issuer and thereafter merged with and into the Issuer (the &quot;Merger&quot;) effective as of May 3, 2022 (the &quot;Effective Time&quot;). At the Effective Time, each issued and outstanding Share was cancelled and converted into the right to receive $10.70 in cash (the &quot;Per Share Price&quot;).</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Rebecca L. Kujawa by Power of Attorney</signatureName>
        <signatureDate>2022-05-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
