<?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>0001598061</rptOwnerCik>
            <rptOwnerName>WLR Recovery Fund V 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>0001597969</rptOwnerCik>
            <rptOwnerName>WLR Select Co-Investment, 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>0001431792</rptOwnerCik>
            <rptOwnerName>WLR/GS Master Co-Investment, L.P.</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>0001598089</rptOwnerCik>
            <rptOwnerName>WLR Recovery Associates V 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>0001598124</rptOwnerCik>
            <rptOwnerName>WLR Recovery Associates V 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>0001598077</rptOwnerCik>
            <rptOwnerName>WLR Select Associates DSS, 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>0001598065</rptOwnerCik>
            <rptOwnerName>WLR Select Associates DSS 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>0001431793</rptOwnerCik>
            <rptOwnerName>WLR Master Co-Investment GP 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 IV DSS AIV, L.P., WLR IV Parallel ESC, L.P., WLR V Parallel ESC, L.P., WLR Recovery Associates IV DSS AIV, L.P., WLR Recovery Associates IV DSS AIV GP, Ltd., INVESCO WLR IV Associates LLC, INVESCO WLR V Associates LLC, Invesco Private Capital, Inc. and WL Ross &amp; Co. LLC have filed a separate Form 4 disclosing ownership of the shares reported herein.</remarks>

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

    <ownerSignature>
        <signatureName>WLR/GS Master Co-Investment, L.P., By: WLR Master Co-Investment GP, LLC, its general partner, By: /s/ Lee Phegley, Name: Lee Phegley, Title: Authorized Signatory</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

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

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

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

    <ownerSignature>
        <signatureName>WLR Master Co-Investment GP, LLC, By: /s/ Lee Phegley, Name: Lee Phegley, Title: Authorized Signatory</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
