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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-10-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001293613</issuerCik>
        <issuerName>Kayne Anderson Energy Infrastructure Fund, Inc.</issuerName>
        <issuerTradingSymbol>KYN</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>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Series H Mandatory Redeemable Preferred Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2020-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>405366</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>25.18</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through subsidiaries</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Series I Mandatory Redeemable Preferred Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2020-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>121609</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>25.43</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through subsidiaries</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Series H Mandatory Redeemable Preferred Shares (the &quot;Series H MRPS&quot;) were redeemed by the issuer at a price equal to the principal amount of $25.00 of the redeemed securities plus accrued interest of $0.18 per share (the &quot;Series H Redemption&quot;).</footnote>
        <footnote id="F2">American General Life Insurance Company (&quot;AGLIC&quot;) and American Home Assurance Company (&quot;AHAC&quot;) directly held 269,569 shares and 135,797 shares, respectively, of the Series H MRPS. American International Group, Inc. (&quot;AIG&quot;) is an indirect beneficial owner of the Series H MRPS.</footnote>
        <footnote id="F3">The Series I Mandatory Redeemable Preferred Shares (the &quot;Series I MRPS&quot;) were redeemed by the issuer at a price equal to the principal amount of $25.00 of the redeemed securities, plus a redemption of $0.25 per share, plus accrued interest of $0.18 per share (the &quot;Series I Redemption&quot;).</footnote>
        <footnote id="F4">AHAC and The Variable Annuity Life Insurance Company (&quot;VALIC&quot;) directly held 40,536 shares and 81,073 shares, respectively, of the Series I MRPS. AIG is an indirect beneficial owner of the Series I MRPS.</footnote>
    </footnotes>

    <remarks>Filed pursuant to Section 30(h) of the Investment Company Act of 1940.</remarks>

    <ownerSignature>
        <signatureName>/s/ Geoffrey N. Cornell, Authorized Signatory of American International Group, Inc.</signatureName>
        <signatureDate>2020-10-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
