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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-01-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000806628</issuerCik>
        <issuerName>DNP SELECT INCOME FUND INC</issuerName>
        <issuerTradingSymbol>DNP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000005272</rptOwnerCik>
            <rptOwnerName>AMERICAN INTERNATIONAL GROUP INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>175 WATER STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10038</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000005108</rptOwnerCik>
            <rptOwnerName>AMERICAN GENERAL LIFE INSURANCE CO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2727-A ALLEN PARKWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>4.63% Mandatory Redeemable Preferred Shares Series E</value>
            </securityTitle>
            <transactionDate>
                <value>2019-01-29</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>660</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>100000.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>660</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through subsidiaries</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Floating Rate Mandatory Redeemable Preferred Shares Series A</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through subsidiaries</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">American General Life Insurance Company (&quot;AGL&quot;), The United States Life Insurance Company in the City of New York and The Variable Annuity Life Insurance Company, each an indirect wholly owned subsidiary of American International Group, Inc. (&quot;AIG&quot;), directly hold 640 shares, 10 shares and 10 shares, respectively, of the 4.63% Mandatory Redeemable Preferred Shares, Series E, of the Issuer (the &quot;Series E Preferred Shares&quot;).</footnote>
        <footnote id="F2">AGL and American Home Assurance Company, each an indirect wholly owned subsidiary of AIG, directly hold 675 shares and 325 shares, respectively, of the Floating Rate Mandatory Redeemable Preferred Shares, Series A, of the Issuer (the &quot;Series A Preferred Shares&quot; and together with the Series E Preferred Shares, the &quot;Preferred Shares&quot;). As set forth in a notice of redemption dated January 30, 2019, the Issuer will redeem all outstanding Series A Preferred Shares effective March 1, 2019.</footnote>
    </footnotes>

    <remarks>Filed pursuant to Section 30(h) of the Investment Company Act of 1940. The Reporting Persons are informed that the referenced Preferred Shares represent, in the aggregate, in excess of 10% of this class of preferred equity securities of the Issuer.</remarks>

    <ownerSignature>
        <signatureName>/s/ Geoffrey N. Cornell, Authorized Signatory of American International Group, Inc.</signatureName>
        <signatureDate>2019-01-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Julie A. Cotton-Hearne, Authorized Signatory of American General Life Insurance Co.</signatureName>
        <signatureDate>2019-01-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
