<SEC-DOCUMENT>0000899243-19-026946.txt : 20191108
<SEC-HEADER>0000899243-19-026946.hdr.sgml : 20191108
<ACCEPTANCE-DATETIME>20191108133444
ACCESSION NUMBER:		0000899243-19-026946
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20191107
FILED AS OF DATE:		20191108
DATE AS OF CHANGE:		20191108

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			J.P. Morgan Taxable PUTTERs/Taxable DRIVERs, Series T0009 Trust
		CENTRAL INDEX KEY:			0001544214

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21178
		FILM NUMBER:		191203431

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		212-361-6177

	MAIL ADDRESS:	
		STREET 1:		C/O U.S. BANK TRUST NATIONAL ASSOCIATION
		STREET 2:		100 WALL STREET-SUITE 1600
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10005

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			BLACKROCK MUNICIPAL INCOME QUALITY TRUST
		CENTRAL INDEX KEY:			0001181187
		IRS NUMBER:				000000000
		FISCAL YEAR END:			0831

	BUSINESS ADDRESS:	
		STREET 1:		100 BELLEVUE PARKWAY
		CITY:			WILMINGTON
		STATE:			DE
		ZIP:			19809
		BUSINESS PHONE:		800-441-7762

	MAIL ADDRESS:	
		STREET 1:		100 BELLEVUE PARKWAY
		CITY:			WILMINGTON
		STATE:			DE
		ZIP:			19809

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BLACKROCK INSURED MUNICIPAL INCOME TRUST
		DATE OF NAME CHANGE:	20020904

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BLACKROCK MUNICIPAL INCOME TRUST III
		DATE OF NAME CHANGE:	20020819
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-11-07</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001181187</issuerCik>
        <issuerName>BLACKROCK MUNICIPAL INCOME QUALITY TRUST</issuerName>
        <issuerTradingSymbol>BYM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001544214</rptOwnerCik>
            <rptOwnerName>J.P. Morgan Taxable PUTTERs/Taxable DRIVERs, Series T0009 Trust</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O U.S BANK TRUST NATIONAL ASSOCIATION</rptOwnerStreet1>
            <rptOwnerStreet2>100 WALL STREET- SUITE 1600</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Series W-7 Variable Rate Muni Term Preferred Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2019-11-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1372</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>100000.00</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></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Ian M. Watson</signatureName>
        <signatureDate>2019-11-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
