-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 DalEg+6ijA8BxLUyCrFchBQQHm8x2mFJ8/fifibjCWu4m8qehJYL7RZlxigP+vB8
 spYCTw6wYKtsqIuRlYopAg==

<SEC-DOCUMENT>0001015680-03-000303.txt : 20031028
<SEC-HEADER>0001015680-03-000303.hdr.sgml : 20031028
<ACCEPTANCE-DATETIME>20031028155617
ACCESSION NUMBER:		0001015680-03-000303
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031022
FILED AS OF DATE:		20031028

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			LEAFSTRAND THOMAS E
		CENTRAL INDEX KEY:			0001189635

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-07484
		FILM NUMBER:		03961017

	MAIL ADDRESS:	
		STREET 1:		333 W WACKER DRIVE
		STREET 2:		C/O NUVEEN INVESTMENTS
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			NUVEEN MASSACHUSETTS PREMIUM INCOME MUNICIPAL FUND
		CENTRAL INDEX KEY:			0000897419
		STANDARD INDUSTRIAL CLASSIFICATION:	UNKNOWN SIC - 0000 [0000]
		IRS NUMBER:				367032570
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			0531

	BUSINESS ADDRESS:	
		STREET 1:		333 WEST WACKER DR
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
		BUSINESS PHONE:		3129178200

	MAIL ADDRESS:	
		STREET 1:		333 WEST WACKER DRIVE
		STREET 2:		333 WEST WACKER DRIVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
</SEC-HEADER>
<DOCUMENT>
<TYPE>3
<SEQUENCE>1
<FILENAME>lea4.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>3</documentType>
	<periodOfReport>2003-10-22</periodOfReport>
    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000897419</issuerCik>
        <issuerName>NUVEEN MASSACHUSETTS PREMIUM INCOME MUNICIPAL FUND</issuerName>
        <issuerTradingSymbol>NMT</issuerTradingSymbol>
	</issuer>
	<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001189635</rptOwnerCik>
            <rptOwnerName>LEAFSTRAND THOMAS E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>412 W FRANKLIN</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WHEATON</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60187</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
			<isDirector>1</isDirector>
			<isOfficer>0</isOfficer>
			<isTenPercentOwner>0</isTenPercentOwner>
			<isOther>0</isOther>
		</reportingOwnerRelationship>
	</reportingOwner>
	<nonDerivativeTable>
		<nonDerivativeHolding>
			<securityTitle>
				<value>Common Stock</value>
			</securityTitle>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>0</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeHolding>
	</nonDerivativeTable>
	<footnotes>
	</footnotes>
	<remarks>
	</remarks>
	<ownerSignature>
		<signatureName>By: Jessica R. Droeger/signed under POA</signatureName>
		<signatureDate>2003-10-22</signatureDate>
	</ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----