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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-04-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001528849</issuerCik>
        <issuerName>RH</issuerName>
        <issuerTradingSymbol>RH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001521539</rptOwnerCik>
            <rptOwnerName>STANGL SANDRA</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RH</rptOwnerStreet1>
            <rptOwnerStreet2>15 KOCH ROAD, SUITE K</rptOwnerStreet2>
            <rptOwnerCity>CORTE MADERA</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94925</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>88.00</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-04-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>50000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2028-04-19</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>50000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>50000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">This option award was granted to Ms. Stangl upon the one year anniversary of her employment with the Company pursuant to the terms of her offer of employment.  This option award will vest and become exercisable over five years as follows: 15% of the options will vest on each of the first and second anniversaries of the vesting commencement date; 20% of the options will vest on the third anniversary of the vesting commencement date; and 25% of the options will vest on each of the fourth and fifth anniversary of the vesting commencement date, subject to continuous service on each vesting date, with the vesting commencement date of such option award being May 15, 2018.</footnote>
    </footnotes>

    <remarks>President, Chief Merchandising &amp; Business Development Officer</remarks>

    <ownerSignature>
        <signatureName>/s/ Edward T. Lee as Attorney-In-Fact</signatureName>
        <signatureDate>2018-04-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
