<SEC-DOCUMENT>0001181431-12-007327.txt : 20120209
<SEC-HEADER>0001181431-12-007327.hdr.sgml : 20120209
<ACCEPTANCE-DATETIME>20120209172235
ACCESSION NUMBER:		0001181431-12-007327
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20120131
FILED AS OF DATE:		20120209
DATE AS OF CHANGE:		20120209

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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			UBS AG
		CENTRAL INDEX KEY:			0001114446
		STANDARD INDUSTRIAL CLASSIFICATION:	NATIONAL COMMERCIAL BANKS [6021]
		STATE OF INCORPORATION:			V8
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21178
		FILM NUMBER:		12588461

	BUSINESS ADDRESS:	
		STREET 1:		BAHNHOFSTRASSE 45
		STREET 2:		P O BOX CH 8001
		CITY:			ZURICH
		STATE:			V8
		ZIP:			CH 8001
		BUSINESS PHONE:		203-719-5241

	MAIL ADDRESS:	
		STREET 1:		677 WASHINGTON BLVD.
		CITY:			STAMFORD
		STATE:			CT
		ZIP:			06901
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>rrd333518.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0304</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2012-01-31</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001114446</rptOwnerCik>
            <rptOwnerName>UBS AG</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>BAHNHOFSTRASSE 45</rptOwnerStreet1>
            <rptOwnerStreet2>PO BOX CH-8021</rptOwnerStreet2>
            <rptOwnerCity>ZURICH</rptOwnerCity>
            <rptOwnerState>V6</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>SWAZILAND</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Former 10% owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Auction Preferred Stock</value>
                <footnoteId id="F4"/>
            </securityTitle>
            <transactionDate>
                <value>2012-01-31</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>981</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By subsidiary -</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This Statement is filed jointly by UBS AG for the benefit and on behalf of UBS Securities LLC and UBS Financial Services Inc., two-wholly owned subsidiaries of UBS AG to which UBS AG has delegated portions of its performance obligations with respect to the Auction Rate Securities Rights issued by UBS AG to certain clients and pursuant to which the securities reported herein have been purchased from such clients.</footnote>
        <footnote id="F2">Pursuant to the Global Relief Letter referred to below, this filing reports holdings of the Series of Auction Preferred Stock identified in Item 1 of this Table I on an aggregated basis.</footnote>
        <footnote id="F3">At Par</footnote>
        <footnote id="F4">(Cusip Nos. 092479203, 092479302, 092479401 )</footnote>
    </footnotes>

    <remarks>*The relevant APS was called for redemption by the issuer.

The Shares reported herein represent UBS AG's combined holdings in multiple series of auction preferred securities of the issuer, which are treated herein as one class of securities in accordance with the Auction Rate Securities -- Global Exemptive Relief letter (&quot;Global Relief Letter&quot;) issued by the staff of the Securities and Exchange Commission (SEC) on September 22, 2008.  UBS AG undertakes to provide, upon request by the SEC staff, the issuer, or a security holder of the issuer, complete information regarding the transaction(s) outlined above as required by the Global Relief Letter.</remarks>

    <ownerSignature>
        <signatureName>/s/ Anthony DeFilippis</signatureName>
        <signatureDate>2012-02-09</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William Chandler</signatureName>
        <signatureDate>2012-02-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
