<?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>0001404570</rptOwnerCik>
            <rptOwnerName>Invus, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE INVUS GROUP, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>750 LEXINGTON AVENUE, 30TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001218180</rptOwnerCik>
            <rptOwnerName>Artal International S.C.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44, RUE DE LA VALLEE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>L-2661 LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001522131</rptOwnerCik>
            <rptOwnerName>Artal International Management S.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44, RUE DE LA VALLEE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>L-2661 LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001053906</rptOwnerCik>
            <rptOwnerName>Artal Group S.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44, RUE DE LA VALLEE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>L-2661 LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001283968</rptOwnerCik>
            <rptOwnerName>Westend S.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44, RUE DE LA VALLEE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>L-2661 LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001460840</rptOwnerCik>
            <rptOwnerName>Stichting Administratiekantoor Westend</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>IJSSELBURCHT 3</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NL-6825 BS ARNHEM</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001460839</rptOwnerCik>
            <rptOwnerName>Minne Pascal</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44, RUE DE L'INDUSTRIE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>1040 BRUSSELS</rptOwnerCity>
            <rptOwnerState>C9</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>BELGIUM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001404553</rptOwnerCik>
            <rptOwnerName>Invus Advisors, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O THE INVUS GROUP, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>750 LEXINGTON AVENUE, 30TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</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>87460875</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>40.00</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </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 a 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>
        <footnote id="F3">These securities are directly held by Invus, L.P.</footnote>
        <footnote id="F4">Invus Advisors, L.L.C. is the general partner of Invus, L.P.  Artal International S.C.A. is the managing member of Invus Advisors, L.L.C.  The managing partner of Artal International S.C.A. is Artal International Management S.A., which is a wholly owned subsidiary of Artal Group S.A., which is a wholly owned subsidiary of Westend S.A., which is a wholly owned subsidiary of Stichting Administratiekantoor Westend (&quot;Stichting&quot;). Mr. Pascal Minne is the sole member of the board of the Stichting.</footnote>
        <footnote id="F5">Each of the Reporting Persons (other than to the extent it directly holds securities reported herein) disclaims beneficial ownership of the securities held by the other Reporting Persons, except to the extent of such Reporting Person's pecuniary interest therein, and, pursuant to Rule 16a-1(a)(4) under the Securities Exchange Act of 1934, as amended (the &quot;Exchange Act&quot;), each of the Reporting Persons (other than to the extent it directly holds securities reported herein) states that the inclusion of these securities in this report shall not be deemed an admission of beneficial ownership of all of the reported securities for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks>For purposes of Section 16 of the Exchange Act, the Reporting Persons may be deemed to be directors by deputization of the Issuer by virtue of Invus, L.P.'s right to designate certain members of the Issuer's board of directors pursuant to an amended and restated investor rights agreement among the Issuer, Invus, L.P. and certain other stockholders of the Issuer.</remarks>

    <ownerSignature>
        <signatureName>INVUS, L.P., By: Invus Advisors, L.L.C., its general partner, By:  /s/ Raymond Debbane, Name: Raymond Debbane, Title: President</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>INVUS ADVISORS, L.L.C., By:  /s/ Raymond Debbane, Name: Raymond Debbane, Title: President</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>ARTAL INTERNATIONAL S.C.A., By: ARTAL INTERNATIONAL MANAGEMENT S.A., its managing partner, By:  /s/ Anne Goffard, Name: Anne Goffard, Title: Managing Director</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>ARTAL INTERNATIONAL MANAGEMENT S.A., By:  /s/ Anne Goffard, Name: Anne Goffard, Title: Managing Director</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>ARTAL GROUP S.A., By:  /s/ Anne Goffard, Name: Anne Goffard, Title: Authorized Person</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WESTEND S.A., By:  /s/ Pascal Minne, Name: Pascal Minne, Title: Director</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>STICHTING ADMINISTRATIEKANTOOR WESTEND, By:  /s/ Pascal Minne, Name: Pascal Minne, Title: Sole Member of the Board</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Pascal Minne</signatureName>
        <signatureDate>2018-04-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
