-----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,
 Dg5+9lxPU3qRQjdBqVJ1zKdJ9ergv5vxbI1SWemVj6KGvynLY5XTXF39ruvbIBPG
 aVP/9tKFBqEBNM1Imx+t9w==

<SEC-DOCUMENT>0001189642-05-000382.txt : 20050311
<SEC-HEADER>0001189642-05-000382.hdr.sgml : 20050311
<ACCEPTANCE-DATETIME>20050311121302
ACCESSION NUMBER:		0001189642-05-000382
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050223
FILED AS OF DATE:		20050311
DATE AS OF CHANGE:		20050311

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

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Sunshine Eugene S
		CENTRAL INDEX KEY:			0001317973

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-07484
		FILM NUMBER:		05674555

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		847-869-8389

	MAIL ADDRESS:	
		STREET 1:		1620 JUDSON AVENUE
		CITY:			EVANSTON
		STATE:			IL
		ZIP:			60201
</SEC-HEADER>
<DOCUMENT>
<TYPE>3
<SEQUENCE>1
<FILENAME>sun13.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2005-02-23</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001317973</rptOwnerCik>
            <rptOwnerName>Sunshine Eugene S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1620 JUDSON AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>EVANSTON</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Trustee</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <ownerSignature>
        <signatureName>By: Walter M. Kelly, Signed under POA</signatureName>
        <signatureDate>2005-02-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----