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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 GxXsmy9qNYVz0sUo1VKw25Z5gbpSGvvl6IDKXd3I09IAE7jdWPXFVDItOjlJQMi0
 Bbw8ItKB3NHooZRiD2W5KQ==

<SEC-DOCUMENT>0001209191-05-052357.txt : 20051014
<SEC-HEADER>0001209191-05-052357.hdr.sgml : 20051014
<ACCEPTANCE-DATETIME>20051014150126
ACCESSION NUMBER:		0001209191-05-052357
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050729
FILED AS OF DATE:		20051014
DATE AS OF CHANGE:		20051014

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			VAN KAMPEN HIGH INCOME TRUST
		CENTRAL INDEX KEY:			0000843506
		IRS NUMBER:				363616859
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		VAN KAMPEN INVESTMENTS INC.
		STREET 2:		1221 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10020
		BUSINESS PHONE:		2127625441

	MAIL ADDRESS:	
		STREET 1:		VAN KAMPEN INVESTMENTS INC.
		STREET 2:		1221 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10020

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VAN KAMPEN AMERICAN CAPITAL INTERMEDIATE TERM HIGH INCOME TR
		DATE OF NAME CHANGE:	19960102

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VAN KAMPEN MERRITT INTERMEDIATE TERM HIGH INCOME TRUST
		DATE OF NAME CHANGE:	19920703

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			ARCH DAVID C
		CENTRAL INDEX KEY:			0001197312

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-05707
		FILM NUMBER:		051138669

	MAIL ADDRESS:	
		STREET 1:		C/O BLISTEX INC
		STREET 2:		1800 SWIFT DRIVE
		CITY:			OAK BROOK
		STATE:			IL
		ZIP:			60523
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-07-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000843506</issuerCik>
        <issuerName>VAN KAMPEN HIGH INCOME TRUST</issuerName>
        <issuerTradingSymbol>VIT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197312</rptOwnerCik>
            <rptOwnerName>ARCH DAVID C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>BLISTEX, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>1800 SWIFT DRIVE</rptOwnerStreet2>
            <rptOwnerCity>OAK BROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60523</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>2005-07-29</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>676</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>3.78</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Van Kampen High Income Trust (VIT) merged into Van Kampen High Income Trust II (VLT) on 7/29/2005.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ David C. Arch</signatureName>
        <signatureDate>2005-10-14</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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