-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 PK5NyfrjQo5olo3nkTidNXZ2rRX/jgM+VRF71KYcRZO2UADT1ZX43lC7+kpiIO8y
 a5HgMu+cJJC2PpGdXzZbKg==

<SEC-DOCUMENT>0000922907-04-000382.txt : 20040805
<SEC-HEADER>0000922907-04-000382.hdr.sgml : 20040805
<ACCEPTANCE-DATETIME>20040805164736
ACCESSION NUMBER:		0000922907-04-000382
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040803
FILED AS OF DATE:		20040805

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			HEATH CHARLES E
		CENTRAL INDEX KEY:			0001280970

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21462
		FILM NUMBER:		04955227

	MAIL ADDRESS:	
		STREET 1:		180801 MASTIN BLVD
		CITY:			OVERLAND PARK
		STATE:			KS
		ZIP:			66210

ISSUER:		

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

	BUSINESS ADDRESS:	
		STREET 1:		10801 MASTEIN BLVD
		CITY:			OVERLAND PARK
		STATE:			KS
		ZIP:			66210
		BUSINESS PHONE:		9139811020

	MAIL ADDRESS:	
		STREET 1:		10801 MASTIN BLVD STE. 222
		CITY:			OVERLAND PARK
		STATE:			KS
		ZIP:			66210
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>form4_080404heathex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-08-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001280970</rptOwnerCik>
            <rptOwnerName>HEATH CHARLES E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10801 MASTIN BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OVERLAND PARK</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2004-08-03</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>24.05</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Charles E. Heath Trust #1</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <ownerSignature>
        <signatureName>/s/ Charles E. Heath</signatureName>
        <signatureDate>2004-08-04</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----
