<SEC-DOCUMENT>0001140361-15-001495.txt : 20150112
<SEC-HEADER>0001140361-15-001495.hdr.sgml : 20150112
<ACCEPTANCE-DATETIME>20150112184845
ACCESSION NUMBER:		0001140361-15-001495
CONFORMED SUBMISSION TYPE:	5
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20141130
FILED AS OF DATE:		20150112
DATE AS OF CHANGE:		20150112

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:			ADAMS P. BRADLEY
		CENTRAL INDEX KEY:			0001497453

	FILING VALUES:
		FORM TYPE:		5
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21462
		FILM NUMBER:		15522980

	MAIL ADDRESS:	
		STREET 1:		11550 ASH STREET
		STREET 2:		SUITE 300
		CITY:			LEAWOOD
		STATE:			KS
		ZIP:			66211
</SEC-HEADER>
<DOCUMENT>
<TYPE>5
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 5
<TEXT>
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        <issuerName>TORTOISE ENERGY INFRASTRUCTURE CORP</issuerName>
        <issuerTradingSymbol>TYG</issuerTradingSymbol>
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            <rptOwnerName>ADAMS P. BRADLEY</rptOwnerName>
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            <rptOwnerStreet1>11550 ASH STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>LEAWOOD</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66211</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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            <isDirector>0</isDirector>
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            <officerTitle>Chief Financial Officer</officerTitle>
            <otherText></otherText>
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                <transactionPricePerShare>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-09-02</value>
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            <transactionCoding>
                <transactionFormType>5</transactionFormType>
                <transactionCode>L</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
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                <transactionShares>
                    <value>8.816</value>
                    <footnoteId id="F1"/>
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                <transactionPricePerShare>
                    <value>49.02</value>
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                <transactionAcquiredDisposedCode>
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                </transactionAcquiredDisposedCode>
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                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Automatic reinvestment of distribution by broker not made at the Tortoise Energy Infrastructure Corporation (&quot;TYG&quot;) dividend reinvestment plan price.  This transaction is being reported on Form 5 pursuant to Rule 16a-6.</footnote>
        <footnote id="F2">Includes 181.908 shares acquired under the TYG dividend reinvestment plan.</footnote>
        <footnote id="F3">Received in exchange for 1,814.84 common shares of Tortoise Energy Capital Corporation (&quot;TYY&quot;) 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 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="F4">Received in exchange for 1,578.79 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>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>P. Bradley Adams</signatureName>
        <signatureDate>2015-01-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
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</SEC-DOCUMENT>
