<SEC-DOCUMENT>0001140361-15-001525.txt : 20150113
<SEC-HEADER>0001140361-15-001525.hdr.sgml : 20150113
<ACCEPTANCE-DATETIME>20150113102604
ACCESSION NUMBER:		0001140361-15-001525
CONFORMED SUBMISSION TYPE:	5
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20141130
FILED AS OF DATE:		20150113
DATE AS OF CHANGE:		20150113

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			TORTOISE ENERGY INFRASTRUCTURE CORP
		CENTRAL INDEX KEY:			0001268533
		IRS NUMBER:				000000000
		STATE OF INCORPORATION:			MD

	BUSINESS ADDRESS:	
		STREET 1:		11550 ASH STREET, SUITE 300
		CITY:			LEAWOOD
		STATE:			KS
		ZIP:			66211
		BUSINESS PHONE:		913-981-1020

	MAIL ADDRESS:	
		STREET 1:		11550 ASH STREET, SUITE 300
		CITY:			LEAWOOD
		STATE:			KS
		ZIP:			66211

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			HAMEL ZACHARY A
		CENTRAL INDEX KEY:			0001280971

	FILING VALUES:
		FORM TYPE:		5
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21462
		FILM NUMBER:		15523864

	MAIL ADDRESS:	
		STREET 1:		180801 MASTIN BLVD
		CITY:			OVERLAND PARK
		STATE:			KS
		ZIP:			66210
</SEC-HEADER>
<DOCUMENT>
<TYPE>5
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 5
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>5</documentType>

    <periodOfReport>2014-11-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <form3HoldingsReported>0</form3HoldingsReported>

    <form4TransactionsReported>1</form4TransactionsReported>

    <issuer>
        <issuerCik>0001268533</issuerCik>
        <issuerName>TORTOISE ENERGY INFRASTRUCTURE CORP</issuerName>
        <issuerTradingSymbol>TYG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001280971</rptOwnerCik>
            <rptOwnerName>HAMEL ZACHARY A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>11550 ASH STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>LEAWOOD</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66211</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Senior Vice President</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-06-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value>L</value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2997</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7650</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-06-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value>L</value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>653</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7650</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-06-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
            </transactionCoding>
            <transactionTimeliness>
                <value>L</value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>111</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>431</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By self as custodian of children's accounts</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Received in exchange for 4,000 common shares of Tortoise Energy Capital Corporation (&quot;TYY&quot;) and received cash in lieu of fractional shares of Tortoise Energy Infrastructure Corporation (&quot;TYG&quot;) in connection with the merger of TYY into TYG which was effective on June 23, 2014.  The exchange rate was based on each company's relative net asset value (&quot;NAV&quot;) per share as of June 20, 2014, the business day immediately preceding the closing of the merger, which was $50.95 for TYG and $38.19 for TYY. On June 20, 2014, the closing price of TYY common shares was $36.22 and the closing price of TYG common shares was $48.46.</footnote>
        <footnote id="F2">Received in exchange for 1,000 common shares of Tortoise North American Energy Corporation (&quot;TYN&quot;) and received cash in lieu of fractional shares of TYG in connection with the merger of TYN into TYG which was effective on June 23, 2014.  The exchange rate was based on each company's relative NAV per share as of June 20, 2014, the business day immediately preceding the closing of the merger, which was $50.95 for TYG and $33.32 for TYN. On June 20, 2014, the closing price of TYN common shares was $31.54 and the closing price of TYG common shares was $48.46.</footnote>
        <footnote id="F3">Received in exchange for 150 common shares of TYY and received cash in lieu of fractional shares of TYG in connection with the merger of TYY into TYG which was effective on June 23, 2014.  The exchange rate was based on each company's relative NAV per share as of June 20, 2014, the business day immediately preceding the closing of the merger, which was $50.95 for TYG and $38.19 for TYY. On June 20, 2014, the closing price of TYY common shares was $36.22 and the closing price of TYG common shares was $48.46.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Zachary A. Hamel</signatureName>
        <signatureDate>2015-01-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
