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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-04-24</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001609989</issuerCik>
        <issuerName>Blue Buffalo Pet Products, Inc.</issuerName>
        <issuerTradingSymbol>BUFF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001438226</rptOwnerCik>
            <rptOwnerName>SCHULMAN AMY W</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLUE BUFFALO PET PRODUCTS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>11 RIVER ROAD</rptOwnerStreet2>
            <rptOwnerCity>WILTON</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06897</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-04-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>14819</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </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">On April 24, 2018, General Mills, Inc., a Delaware corporation (&quot;Buyer&quot;), acquired the Issuer pursuant to that certain Agreement and Plan of Merger entered into by and among the Issuer, Buyer and Bravo Merger Corp., a Delaware corporation and wholly-owned subsidiary of Buyer (&quot;Merger Sub&quot;), dated as of February 22, 2018 (the &quot;Merger Agreement&quot;). In accordance with the Merger Agreement, Merger Sub merged with and into the Issuer, with the Issuer surviving such merger as a wholly-owned subsidiary of Buyer (the &quot;Merger&quot;).</footnote>
        <footnote id="F2">At the effective time of the Merger, each outstanding share of the Issuer's common stock (other than certain excluded shares) automatically converted into the right to receive $40.00 in cash, without interest and after giving effect to any required withholding taxes.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Karen M. McCarthy, as Attorney-in-Fact</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
