-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 OplYAwE9ChHRBaONBSyiGoJptBy5gOk/jYlv/5GbBieXGckC2w2aa4gccukQrgQU
 bpyUH3Kkliecn3T2O3RKQg==

<SEC-DOCUMENT>0001209191-04-028738.txt : 20040601
<SEC-HEADER>0001209191-04-028738.hdr.sgml : 20040601
<ACCEPTANCE-DATETIME>20040601123037
ACCESSION NUMBER:		0001209191-04-028738
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040528
FILED AS OF DATE:		20040601

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			VAN KAMPEN SENIOR INCOME TRUST
		CENTRAL INDEX KEY:			0001059386
		IRS NUMBER:				364221649
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		ONE PARKVIEW PLAZA
		STREET 2:		VAN KAMPEN INVESTMENTS INC
		CITY:			OAKBROOK TERRACE
		STATE:			IL
		ZIP:			60181
		BUSINESS PHONE:		6306846774

	MAIL ADDRESS:	
		STREET 1:		ONE PARKVIEW PLAZA
		STREET 2:		VAN KAMPEN INVESTMENTS INC
		CITY:			OAKBROOK TERRACE
		STATE:			IL
		ZIP:			60181

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VAN KAMPEN AMERICAN CAPITAL SENIOR INCOME TRUST
		DATE OF NAME CHANGE:	19980408

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			HEAGY LINDA HUTTON
		CENTRAL INDEX KEY:			0001246328

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-08743
		FILM NUMBER:		04840434

	BUSINESS ADDRESS:	
		STREET 1:		HEIDRICK & STRUGGLES
		STREET 2:		233 S WACKER DR STE 7000
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
		BUSINESS PHONE:		3124961788

	MAIL ADDRESS:	
		STREET 1:		233 S WACKER DR STE 7000
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
</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>2004-05-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001059386</issuerCik>
        <issuerName>VAN KAMPEN SENIOR INCOME TRUST</issuerName>
        <issuerTradingSymbol>VVR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001246328</rptOwnerCik>
            <rptOwnerName>HEAGY LINDA HUTTON</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HEIDRICK &amp; STRUGGLES</rptOwnerStreet1>
            <rptOwnerStreet2>233 SOUTH WACKER DR.</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Phantom stock units</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0</value>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-05-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>876.6130</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>8.6800</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>1988-08-08</value>
            </exerciseDate>
            <expirationDate>
                <value>1988-08-08</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>876.6130</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9167.6020</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The phantom stock units were accrued under the VVR directors' deferred compensation plan and are to be settled 100% in cash, in generally equal annual installments over a period of five (5) years beginning on the date of the Director's retirement or disability, except that the Board of Directors, in its sole discretion, may accelerate or extend the distribution.</footnote>
        <footnote id="F2">1 for 1</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Linda Hutton Heagy</signatureName>
        <signatureDate>2004-06-01</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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