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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-03-23</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001694187</issuerCik>
        <issuerName>Neon Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>NTGN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001391297</rptOwnerCik>
            <rptOwnerName>Access Industries Holdings LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>40 WEST 57TH ST, 28TH FL</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001468950</rptOwnerCik>
            <rptOwnerName>Clal Biotechnology Industries Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3 AZRIELI CENTER TRIANGLE TOWER 45 FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>TEL AVIV</rptOwnerCity>
            <rptOwnerState>L3</rptOwnerState>
            <rptOwnerZipCode>67023</rptOwnerZipCode>
            <rptOwnerStateDescription>ISRAEL</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001508227</rptOwnerCik>
            <rptOwnerName>ACCESS INDUSTRIES, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ACCESS INDUSTRIES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>40 WEST 57TH STREET, 28TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Affiliate of 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001508226</rptOwnerCik>
            <rptOwnerName>ACCESS INDUSTRIES MANAGEMENT, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ACCESS INDUSTRIES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>40 WEST 57TH STREET, 28TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Affiliate of 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001326628</rptOwnerCik>
            <rptOwnerName>Blavatnik Len</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ACCESS INDUSTRIES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>40 WEST 57TH STREET, 28TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Affiliate of 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-03-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>117400</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.2022</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1896176</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-03-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>84286</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.1923</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>856304</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By corporation</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-03-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>50358</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.1741</value>
                    <footnoteId id="F5"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>940590</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By corporation</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $2.20 to $2.25, inclusive. The reporting person undertakes to provide to the issuer, any security holder of the issuer or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the ranges set forth in this footnote to this Form 4.</footnote>
        <footnote id="F2">The securities reported are held directly by Access Industries Holdings LLC (&quot;AIH&quot;) and may be deemed to be beneficially owned by Access Industries, LLC (&quot;Access LLC&quot;), Access Industries Management, LLC (&quot;Management LLC&quot;) and Len Blavatnik, because Access LLC holds a majority of the outstanding voting interests in AIH, Management LLC controls Access LLC and AIH, and Len Blavatnik controls Management LLC and Access LLC. Each of the reporting persons (other than AIH) disclaims beneficial ownership of these securities, except to the extent of its or his pecuniary interest therein, if any, and this Form shall not be construed as an admission that any such reporting person (other than AIH) is the beneficial owner of such securities for any purpose.</footnote>
        <footnote id="F3">The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $2.19 to $2.21, inclusive. The reporting person undertakes to provide to the issuer, any security holder of the issuer or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the ranges set forth in this footnote to this Form 4.</footnote>
        <footnote id="F4">The securities reported are held directly by Clal Biotechnology Industries Ltd. (&quot;CBI&quot;). AIH, Access LLC, Management LLC and Len Blavatnik may be deemed to beneficially own the securities held directly by CBI because Clal Industries Ltd. (&quot;CI&quot;) is the controlling shareholder of CBI, AIH controls CI, Access LLC holds a majority of the outstanding interests in AIH, Management LLC controls Access LLC, and Len Blavatnik controls Management LLC and Access LLC. Each of the reporting persons (other than CBI) disclaims beneficial ownership of these securities, except to the extent of its or his pecuniary interest therein, if any, and this Form shall not be construed as an admission that any such reporting person (other than CBI) is the beneficial owner of such securities for any purpose.</footnote>
        <footnote id="F5">The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $2.16 to $2.19, inclusive. The reporting person undertakes to provide to the issuer, any security holder of the issuer or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the ranges set forth in this footnote to this Form 4.</footnote>
    </footnotes>

    <remarks>As a result of CBI's relationships with the other Reporting Persons, it is possible that CBI may be deemed a member of a &quot;group&quot;, within the meaning of Rule 13d-5(b)(1) under the Securities Exchange Act of 1934, as amended (the &quot;Act&quot;), with such other Reporting Persons. CBI is making this filing as a precautionary matter and this filing shall not be deemed an admission that CBI is a member of a group or is subject to the reporting requirements of Section 16 of the Act.</remarks>

    <ownerSignature>
        <signatureName>/s/ Alejandro Moreno for Access Industries Holdings LLC</signatureName>
        <signatureDate>2020-03-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Ofer Gonen (CEO) and Assaf Segal (CFO) for Clal Biotechnology Industries Ltd.</signatureName>
        <signatureDate>2020-03-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Alejandro Moreno for Access Industries, LLC</signatureName>
        <signatureDate>2020-03-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Alejandro Moreno for Access Industries Management, LLC</signatureName>
        <signatureDate>2020-03-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Alejandro Moreno, as Attorney-in-Fact for Mr. Blavatnik</signatureName>
        <signatureDate>2020-03-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
