<?xml version="1.0"?><ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType><periodOfReport>2003-09-01</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000902754</issuerCik>
        <issuerName>VAN KAMPEN MUNICIPAL OPPORTUNITY TRUST II</issuerName>
        <issuerTradingSymbol>VOT</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001198982</rptOwnerCik>
            <rptOwnerName>SONNENSCHEIN HUGO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>UNIVERSITY OF CHICAGO</rptOwnerStreet1>
            <rptOwnerStreet2>1126 E. 59TH ST. -- SS 507</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60637</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>2003-09-01</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>J</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F3" /></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>23236.711</value></transactionShares><transactionPricePerShare><value>13.63</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</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>23236.711</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">The phantom stock units were accrued under the VOT directors' deferred compensation plan and are to be settled 100% in cash, in generally equal 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><footnote id="F3">The equivalent dollar amount of the phantom stock units are being rolled over into other eligible products in the director's deferred compensation plan.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Hugo Sonnenschein</signatureName><signatureDate>2003-09-02</signatureDate></ownerSignature></ownershipDocument>

