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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-11-25</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001761940</issuerCik>
        <issuerName>Diamond S Shipping Inc.</issuerName>
        <issuerTradingSymbol>DSSI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001597745</rptOwnerCik>
            <rptOwnerName>WLR Recovery Fund IV DSS AIV, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001422834</rptOwnerCik>
            <rptOwnerName>WLR IV PARALLEL ESC LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001533938</rptOwnerCik>
            <rptOwnerName>WLR V Parallel ESC, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001598164</rptOwnerCik>
            <rptOwnerName>WLR Recovery Associates IV DSS AIV, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001598083</rptOwnerCik>
            <rptOwnerName>WLR Recovery Associates IV DSS AIV GP, Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001429294</rptOwnerCik>
            <rptOwnerName>INVESCO WLR IV Associates LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001597974</rptOwnerCik>
            <rptOwnerName>Invesco WLR V Associates LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1166 AVENUE OF THE AMERICAS</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001128452</rptOwnerCik>
            <rptOwnerName>Invesco Private Capital, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001202045</rptOwnerCik>
            <rptOwnerName>WL ROSS &amp; CO LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WL ROSS &amp; CO. LLC</rptOwnerStreet1>
            <rptOwnerStreet2>1166 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</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>2019-11-25</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>660870</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.475</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9039260</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents 5,293,173 shares held directly by WLR Recovery Fund IV DSS AIV, L.P., 1,210,633 shares held directly by WLR Recovery Fund V DSS AIV, L.P., 1,807,852 shares held directly by WLR Select Co-Investment, L.P., 696,626 shares held directly by WLR/GS Master Co-Investment, L.P., 19,605 common shares held directly by WLR IV Parallel ESC, L.P. and 11,371 shares held directly by WLR V Parallel ESC, L.P. (collectively, the &quot;WLR Investors&quot;).</footnote>
        <footnote id="F2">WLR Recovery Associates IV DSS AIV GP, Ltd. is the general partner of WLR Recovery Associates IV DSS AIV, L.P., which in turn is the general partner of WLR Recovery Fund IV DSS AIV, L.P. WLR Recovery Associates V DSS AIV GP, Ltd. is the general partner of WLR Recovery Associates V DSS AIV, L.P., which in turn is the general partner of WLR Recovery Fund V DSS AIV, L.P. WLR Select Associates DSS GP, Ltd. is the general partner of WLR Select Associates DSS, L.P., which in turn is the general partner of WLR Select Co-Investment, L.P. WLR Master Co-Investment GP, LLC is the general partner of WLR/GS Master Co-Investment, L.P. Invesco Private Capital, Inc. is the managing member of INVESCO WLR IV Associates LLC, which is the general partner of WLR IV Parallel ESC, L.P. Invesco Private Capital, Inc. is the managing member of INVESCO WLR V Associates LLC, which is the general partner of WLR V Parallel ESC, L.P. WL Ross &amp; Co. LLC serves as the investment manager to each of the WLR Investors.</footnote>
    </footnotes>

    <remarks>Due to the limitations of the SEC's electronic filing system, each of WLR Recovery Fund V DSS AIV, L.P., WLR Select Co-Investment, L.P., WLR/GS Master Co-Investment, L.P., WLR Recovery Associates V DSS AIV, L.P., WLR Recovery Associates V DSS AIV GP, Ltd., WLR Select Associates DSS, L.P., WLR Select Associates DSS GP, Ltd. and WLR Master Co-Investment GP, LLC have filed a separate Form 4 disclosing ownership of the shares reported herein.</remarks>

    <ownerSignature>
        <signatureName>WLR Recovery Fund IV DSS AIV, L.P., By: WLR Recovery Associates IV DSS AIV, L.P., its General Partner, By: WLR Recovery Associates IV DSS AIV GP, Ltd., its General Partner, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WLR IV Parallel ESC, L.P., By: Invesco WLR IV Associates LLC, its General Partner, By: Invesco Private Capital, Inc., its Managing Member, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WLR V Parallel ESC, L.P., By: Invesco WLR V Associates LLC, its General Partner, By: Invesco Private Capital, Inc., its Managing Member, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WLR Recovery Associates IV DSS AIV, L.P., By: WLR Recovery Associates IV DSS AIV GP, Ltd., its General Partner, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WLR Recovery Associates IV DSS AIV GP, Ltd., By: /s/ Stephen Toy, Name: Stephen Toy, Title: Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Invesco WLR IV Associates LLC, By: Invesco Private Capital, Inc., its Managing Member, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Invesco WLR V Associates LLC, By: Invesco Private Capital, Inc., its Managing Member, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Invesco Private Capital, Inc., By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WL Ross &amp; Co. LLC, By: /s/ Stephen Toy, Name: Stephen Toy, Title: Senior Managing Director</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
