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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-03-24</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001157602</issuerCik>
        <issuerName>Vitae Pharmaceuticals, Inc</issuerName>
        <issuerTradingSymbol>VTAE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162057</rptOwnerCik>
            <rptOwnerName>PROSPECT MANAGEMENT CO II LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001135669</rptOwnerCik>
            <rptOwnerName>PROSPECT VENTURE PARTNERS II LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162055</rptOwnerCik>
            <rptOwnerName>PROSPECT VENTURE PARTNERS LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162056</rptOwnerCik>
            <rptOwnerName>PROSPECT MANAGEMENT CO LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162059</rptOwnerCik>
            <rptOwnerName>HIRSCH RUSSELL C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162060</rptOwnerCik>
            <rptOwnerName>SCHNELL DAVID</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PROSPECT VENTURE  PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>435 TASSO STREET, SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>PALO ALTO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-03-24</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>900383</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1672140</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-03-24</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20357</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>32584</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-03-24</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F6"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20357</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28237</value>
                    <footnoteId id="F7"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F8"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>395799</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F9"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F10"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F11"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F12"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F13"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents a pro rata distribution without additional consideration by Prospect Venture Partners II, L.P. (&quot;PVP II&quot;).</footnote>
        <footnote id="F2">The reportable securities are owned by PVP II.  Prospect Management Co. II, L.L.C. (&quot;PMC II&quot;) is the general partner of PVP II.  Russell Hirsch (&quot;Hirsch&quot;) and David Schnell (&quot;Schnell&quot;) are the managing members of PMC II.  Each of PMC II, Hirsch and Schnell disclaim beneficial ownership of these securities and this report shall not be deemed an admission that any of them is the beneficial owner of such securities for purposes of Section 16 or for any other purpose, except to the extent of its pecuniary interest therein.</footnote>
        <footnote id="F3">Acquisition by The Hirsch Living Trust Dated 9/22/2000 (&quot;Hirsch Trust&quot;) pursuant to a pro rata distribution without additional consideration by PVP II.</footnote>
        <footnote id="F4">Includes 4,347 shares previously held through Prospect Venture Partner, L.P. (&quot;PVP&quot;), as Nominee and 7,880 shares previously held through PVP II, as Nominee that are now held directly by Hirsch Trust.</footnote>
        <footnote id="F5">The reportable securities are owned directly by Hirsch Trust.  Hirsch is a trustee of Hirsch Trust.</footnote>
        <footnote id="F6">Acquisition by David Schnell, Trust 2000 U/L DTD May 26, 2000 (&quot;Schnell Trust&quot;) pursuant to a pro rata distribution without additional consideration by PVP II.</footnote>
        <footnote id="F7">Includes 7,880 shares previously held through PVP II, as Nominee that are now held directly by Schnell Trust.</footnote>
        <footnote id="F8">The reportable securities are owned directly by Schnell Trust.  Schnell is a trustee of Schnell Trust.</footnote>
        <footnote id="F9">The reportable securities are owned by PVP.  Prospect Management Co., L.L.C. (&quot;PMC&quot;) is the general partner of PVP.  Schnell is the managing member of PMC.  Each of PMC and Schnell disclaim beneficial ownership of these securities and this report shall not be deemed an admission that any of them is the beneficial owner of such securities for purposes of Section 16 or for any other purpose, except to the extent of its pecuniary interest therein.</footnote>
        <footnote id="F10">The shares previously reported as held by PVP, as Nominee are now being held directly in each of the Beneficial Owners' names.</footnote>
        <footnote id="F11">The reportable securities are owned by PVP, as Nominee.  PMC is the general partner of PVP.  Schnell is the managing member of PMC.  Each of PMC and Schnell disclaim beneficial ownership of these securities and this report shall not be deemed an admission that any of them is the beneficial owner of such securities for purposes of Section 16 or for any other purpose, except to the extent of its pecuniary interest therein.</footnote>
        <footnote id="F12">The shares previously reported as held by PVP II, as Nominee are now being held directly in each of the Beneficial Owners' names.</footnote>
        <footnote id="F13">The reportable securities are owned by PVP II, as Nominee.  PMC II is the general partner of PVP II.  Hirsch and Schnell are the managing members of PMC II.  Each of PMC II, Hirsch and Schnell disclaim beneficial ownership of these securities and this report shall not be deemed an admission that any of them is the beneficial owner of such securities for purposes of Section 16 or for any other purpose, except to the extent of its pecuniary interest therein.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ David Schnell, Managing Member Prospect Management Company, L.L.C., the General Partner of Prospect Venture Partners, L.P.</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Schnell, Managing Member Prospect Management Company, L.L.C.</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Schnell, Managing Member Prospect Management Company II, L.L.C., the General Partner of Prospect Venture Partners II, L.P.</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Schnell, Managing Member Prospect Management Company II, L.L.C.</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Russell Hirsch</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Schnell</signatureName>
        <signatureDate>2015-03-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
