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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-09-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001304464</issuerCik>
        <issuerName>Crestwood Midstream Partners LP</issuerName>
        <issuerTradingSymbol>CMLP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001408008</rptOwnerCik>
            <rptOwnerName>Gettig Philip D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>700 LOUISIANA STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 2550</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Units</value>
            </securityTitle>
            <transactionDate>
                <value>2015-09-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>34493</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </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">Includes CMLP restricted units exchanged pursuant to the Merger Agreement.</footnote>
        <footnote id="F2">On September 30, 2015, the unitholders of Crestwood Midstream Partners LP (&quot;CMLP&quot;) approved the Agreement and Plan of Merger dated as of May 5, 2015 (the &quot;Merger Agreement&quot;), by and among Crestwood Equity Partners LP (&quot;CEQP&quot;), Crestwood Equity GP LLC, CEQP St Sub LLC, MGP GP, LLC, Crestwood Midstream Holdings LP, Crestwood Midstream Partners LP, Crestwood Midstream GP LLC and Crestwood Gas Services GP, LLC.  As a result of the merger, each common unit of CMLP issued and outstanding immediately prior to the effective time of the merger was converted into 2.75 common units of CEQP.</footnote>
        <footnote id="F3">On the effective date of the merger, the closing sales price of CMLP common units on the NYSE was $6.18 and the closing sales price of CEQP common units on the NYSE was $2.28.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Judy Riddle, attorney-in-fact for Philip D. Gettig</signatureName>
        <signatureDate>2015-10-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
