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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-12-08</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001322722</rptOwnerCik>
            <rptOwnerName>Reinhart Andrew J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O 21 SCARSDALE ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>YONKERS</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10707</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>1stSVP/Controller/AsstTreasr</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2014-12-08</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>832</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>26.26</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>23984</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Employee Stock Options (Right-to-Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>23.76</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2016-02-07</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5126</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5126</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Includes 2,172 shares of Restricted Stock which vest at 25% per year over 4 years, beginning on the date of the grant (March 6, 2013). Accordingly, 1,086 shares have vested and 543 shares will vest on each of 03/06/2015 and 03/06/2016.</footnote>
        <footnote id="F2">Includes 1,980 shares of Restricted Stock which vest at 25% per year over 4 years beginning on the date of the grant (03/14/2012).  Accordingly, 1,485 shares have vested and 495 shares will vest on 03/14/2015.</footnote>
        <footnote id="F3">Includes 10,500 shares of Restricted Stock from an original grant of 15,000 shares of Restricted Stock which vest 4 years on the anniversary of the grant commencing 12/7/2013, at a rate of 15% for each of the first and second years and a rate of 35% for each of the third and fourth years.  Accordingly, 2,250 shares vested on each of 12/7/2013 and 12/7/2014, and 5,250 shares will vest on each of 12/7/2015 and 12/7/2016.</footnote>
        <footnote id="F4">Includes 1,976 shares of Restricted Stock Award which vest over 3 years on the anniversary of the grant commencing 02/20/2015, at a rate of 33.3% for each year (659 shares will vest on each of 02/20/2015 and 02/20/2016 and 658 shares will vest on 02/20/2017).</footnote>
        <footnote id="F5">Options became exercisable at 20% per year over 5 years on the anniversary of the grant, beginning on the first anniversary of the date of the original grant of 02/07/2006. Accordingly, all options are presently exercisable.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael J. Indiveri (Michael J. Indiveri as Attorney-in-Fact for Andrew J. Reinhart)</signatureName>
        <signatureDate>2014-12-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
