<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0203</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2009-02-27</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000890897</issuerCik>
        <issuerName>NUVEEN MICHIGAN PREMIUM INCOME MUNICIPAL FUND INC</issuerName>
        <issuerTradingSymbol>NMP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000070858</rptOwnerCik>
            <rptOwnerName>BANK OF AMERICA CORP /DE/</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>BANK OF AMERICA CORPORATE CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>100 N TRYON ST</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28255</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000728612</rptOwnerCik>
            <rptOwnerName>MERRILL LYNCH, PIERCE, FENNER &amp; SMITH INC.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4 WORLD FINANCIAL CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>NORTH TOWER</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10080</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Auction Rate Preferred</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>225</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Subsidiary</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Auction Rate Preferred Shares (&quot;Shares&quot;) reported in Table 1 represent 225 Shares beneficially owned by Merrill Lynch, Pierce, Fenner &amp; Smith, Inc. (&quot;MLPFS&quot;).  MLPFS is an indirect, wholly owned subsidiaries of Bank of America Corporation (&quot;Bank of America&quot;).</footnote>
    </footnotes>

    <remarks>The Shares reported herein represent Bank of America's combined holdings in multiple series of auction rate preferred securities of the issuer, which are treated herein as one class of securities in accordance with the Auction Rate Securities-Global Exemptive Relief no-action letter issued by the Securities and Exchange Commission (SEC) on September 22, 2008. Bank of America undertakes to provide upon request by the SEC, the issuer or a security holder of the issuer, complete information regarding the number of equity securities of the issuer purchased or sold at each different price and date of all transactions in such securities that occurred after Bank of America became a 10% owner but prior to the date of this filing.</remarks>

    <ownerSignature>
        <signatureName>/s/ Debra I. Cho, Senior Vice President, on behalf of Bank of America Corporation</signatureName>
        <signatureDate>2009-03-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Pia K. Thompson, Assistant Secretary, on behalf of Merrill Lynch, Pierce, Fenner &amp; Smith, Inc.</signatureName>
        <signatureDate>2009-03-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
