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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-08-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000039368</issuerCik>
        <issuerName>FULLER H B CO</issuerName>
        <issuerTradingSymbol>FUL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001185489</rptOwnerCik>
            <rptOwnerName>MITAU LEE R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 WILLOW LAKE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 64683</rptOwnerStreet2>
            <rptOwnerCity>ST. PAUL</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55164-0683</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>5725</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9131.95</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.0</value>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>1988-08-08</value>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>1988-08-08</value>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>19948.04</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19948.04</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.0</value>
                <footnoteId id="F5"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-08-31</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>310.12</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>32.81</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>1988-08-08</value>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>1988-08-08</value>
                <footnoteId id="F6"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>310.12</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2906.24</value>
                    <footnoteId id="F7"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">1998 Directors' Stock Plan Dividend Reinvestment: This amount includes shares acquired pursuant to a dividend reinvestment feature of the 1998 Directors' Stock Plan.</footnote>
        <footnote id="F2">Deferred Compensation Plan: These units convert into shares of common stock on a 1-for-1 basis.</footnote>
        <footnote id="F3">Directors' Deferred Compensation Plan:  These stock units were acquired pursuant to the H.B. Fuller Company's Directors' Deferred Compensation Plan.  These stock units will be converted into shares of common stock upon retirement, death, disability or certain specified events, all as defined in such plan.</footnote>
        <footnote id="F4">Directors' Deferred Compensation Plan Dividend Reinvestment:  This amount includes stock units acquired pursuant to a dividend equivalent feature of the Directors' Deferred Compensation Plan.</footnote>
        <footnote id="F5">Deferred Compensation Plan: These units (acquired after 12-31-04) convert into shares of common stock on a 1-for-1 basis.</footnote>
        <footnote id="F6">Directors' Deferred Compensation Plan:  These stock units (acquired after 12-31-04) were acquired pursuant to the H.B. Fuller Company's Directors' Deferred Compensation Plan.  These stock units will be converted into shares of common stock upon retirement, death, disability or certain specified events, all as defined in such plan, subject to holding periods required by law.</footnote>
        <footnote id="F7">Directors' Deferred Compensation Plan Dividend Reinvestment:  This amount (acquired after 12-31-04)includes stock units acquired pursuant to a dividend equivalent feature of the Directors' Deferred Compensation Plan.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Timothy J. Keenan, Attorney-in-Fact</signatureName>
        <signatureDate>2005-09-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
