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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-03-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001609351</issuerCik>
        <issuerName>Spark Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>ONCE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
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            <rptOwnerCik>0001631248</rptOwnerCik>
            <rptOwnerName>High Katherine A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SPARK THERAPEUTICS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3737 MARKET STREET, SUITE 1300</rptOwnerStreet2>
            <rptOwnerCity>PHILADELPHIA</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>15750</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>50.55</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-03-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7875</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2028-01-17</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7875</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>23625</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">25% vested on May 24, 2015, and the remainder vested in equal quarterly installments over the following three years.</footnote>
        <footnote id="F2">25% vested March 16, 2016 and the remainder vested in equal quarterly installments over the following three years.</footnote>
        <footnote id="F3">25% vested Jamuary 5, 2017 and the remainder vests in equal quarterly installments over the following three years.</footnote>
        <footnote id="F4">25% vested January 18, 2018 and the remainder vests in equal quarterly installments over the following three years.</footnote>
        <footnote id="F5">25% vested January 18, 2019 and the remainder vests in equal annual installments over the following three years.</footnote>
    </footnotes>

    <remarks>President and Head of Research and Development</remarks>

    <ownerSignature>
        <signatureName>/s/ Joseph W. La Barge, attorney-in-fact for Katherine A. High</signatureName>
        <signatureDate>2019-03-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
