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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-06-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001688852</issuerCik>
        <issuerName>Safety, Income &amp; Growth, Inc.</issuerName>
        <issuerTradingSymbol>SAFE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001191821</rptOwnerCik>
            <rptOwnerName>ADLER DEAN S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2929 ARCH STREET, SUITE 1650</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHILADELPHIA</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2017-06-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>10000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10000</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>750000</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The shares are held of record by Mr. Dean S. Adler for the benefit of Lubert-Adler Real Estate Fund VII-B, L.P. (&quot;L-A RE Fund VII-B&quot;), of which Mr. Adler is the member of the ultimate general partner. The shares were fully vested on the grant date.</footnote>
        <footnote id="F2">Mr. Adler expressly disclaims beneficial ownership of the reported shares except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F3">Represents shares held of record for the benefit of L-A RE Fund VII-B.</footnote>
        <footnote id="F4">The shares are held of record by SFTY VII-B, LLC (&quot;SFTY&quot;). SFTY's sole member is L-A RE Fund VII-B. L-A RE Fund VII-B's general partner is Lubert-Adler Group VII-B, LLC (&quot;L-A Group VII-B LLC&quot;). L-A Group VII-B LLC's sole member is Lubert-Adler Group VII-B Holdings, L.P. (&quot;L-A Holdings VII-B LP&quot;). L-A Holdings VII-B LP's general partner is Lubert-Adler Group VII-B Holdings, LLC (&quot;L-A Holdings VII-B LLC&quot;). Mr. Adler and Ira M. Lubert are members of L-A Holdings VII-B LLC. As a result, each of Mr. Adler, Mr. Lubert, L-A Holdings VII-B LLC, L-A Holdings VII-B LP, L-A Group VII-B LLC and L-A RE Fund VII-B may be deemed to share beneficial ownership of the reported shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Dean S. Adler</signatureName>
        <signatureDate>2017-06-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
