-----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,
 BMILbH5pEbRyLezXSNf0//Oq/xRyAhrqyHe7rzHCQE6wnBCn38V9AEFxY2lvfaaE
 DnySwX1ncEvgIb73ZfuBCg==

<SEC-DOCUMENT>0001189642-04-000722.txt : 20041122
<SEC-HEADER>0001189642-04-000722.hdr.sgml : 20041122
<ACCEPTANCE-DATETIME>20041122122011
ACCESSION NUMBER:		0001189642-04-000722
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20041116
FILED AS OF DATE:		20041122
DATE AS OF CHANGE:		20041122

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Antonatos Julia L
		CENTRAL INDEX KEY:			0001308009

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-07484
		FILM NUMBER:		041159883

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		312-917-7700

	MAIL ADDRESS:	
		STREET 1:		333 WEST WACKER DRIVE
		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>ant11.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-11-16</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000897419</issuerCik>
        <issuerName>NUVEEN MASSACHUSETTS PREMIUM INCOME MUNICIPAL FUND</issuerName>
        <issuerTradingSymbol>NMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001308009</rptOwnerCik>
            <rptOwnerName>Antonatos Julia L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>333 W. WACKER DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 2900</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <ownerSignature>
        <signatureName>By: Jessica R. Droeger/Signed under POA</signatureName>
        <signatureDate>2004-11-16</signatureDate>
    </ownerSignature>
</ownershipDocument>

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