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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-02-09</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000722256</issuerCik>
        <issuerName>HUDSON VALLEY HOLDING CORP</issuerName>
        <issuerTradingSymbol>HVB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001582789</rptOwnerCik>
            <rptOwnerName>Swadba John M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O 21 SCARSDALE RD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>YONKERS</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10707</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>EVP of Primary Operating Sub</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-02-09</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>25.94</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6883</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 969 shares of Restricted Stock which vest over 3 years on the anniversary of the grant commencing 02/20/2015, at a rate of 33.3% for each year (323 shares will vest on each of 02/20/2015, 02/20/2016 and 02/20/2017).</footnote>
        <footnote id="F2">Includes 3,750 shares of Restricted Stock which vest over 4 years on the anniversary of the grant commencing 07/26/2014, at a rate of 20% for each of the first and second years and at a rate of 30% for each of the third and fourth years. Accordingly, 750 shares vested on 07/26/2014, 750 shares will vest on 07/26/2015, and 1,125 shares will vest on each of 07/26/2016 and 07/26/2017.</footnote>
        <footnote id="F3">Includes Restricted Stock Award of 1,758 shares which vested immediately upon grant. Accordingly, 1,758 shares vested on 12/30/2014.</footnote>
        <footnote id="F4">Includes Restricted Stock Units, representing 1,758 shares, which vested on 12/30/2014.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael J. Indiveri (Michael J. Indiveri as Attorney-in-Fact for John M. Swadba)</signatureName>
        <signatureDate>2015-02-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
