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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-05-02</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001380509</issuerCik>
        <issuerName>HFF, Inc.</issuerName>
        <issuerTradingSymbol>HF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001206273</rptOwnerCik>
            <rptOwnerName>MCANENY DEBORAH H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HFF, INC., ONE OXFORD CENTRE,</rptOwnerStreet1>
            <rptOwnerStreet2>301 GRANT STREET, SUITE 1100</rptOwnerStreet2>
            <rptOwnerCity>PITTSBURGH</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>15219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A common stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-05-02</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>36.07</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>59066</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On January 26, 2018, the Company declared a dividend, payable to all holders of record of Class A common stock on February 9, 2018, of $1.75 for each share of Class A common stock outstanding. Pursuant to the terms of the Company's 2016 Equity Incentive Plan and the outstanding grants of restricted stock units (RSUs) of Class A common stock, any RSUs of Class A common stock that were unvested (or vested but not settled) as of the dividend record date were entitled, in lieu of any cash dividend, to a stock dividend for each unvested (or vested but not settled) RSU of Class A common stock equal to the per-share cash dividend amount divided by the fair market value of a share of Class A common stock on the dividend date. As a result, as of February 21, 2018, the reporting person received 1,890 additional RSUs of Class A common stock, subject to the vesting and distribution requirements of the underlying RSUs held by the reporting person.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Eric O. Conrad, as attorney-in-fact</signatureName>
        <signatureDate>2018-05-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
