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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-05-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000109380</issuerCik>
        <issuerName>ZIONS BANCORPORATION /UT/</issuerName>
        <issuerTradingSymbol>ZION</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001085551</rptOwnerCik>
            <rptOwnerName>SIMMONS L E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE SOUTH MAIN STREET, SUITE 1134</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SALT LAKE CITY</rptOwnerCity>
            <rptOwnerState>UT</rptOwnerState>
            <rptOwnerZipCode>84111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Deferred Comp</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-05-11</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>21.9029</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>57.02</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>21.9029</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8525.1193</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each unit represents one share of the company's Common
Stock.</footnote>
        <footnote id="F2">Deferred stock units are paid out as cash upon the earliest
of resignation, retirement or death.</footnote>
    </footnotes>

    <remarks>Note: Also see attached Exhibit EX-24 Appointment of Attorney-In-Fact.</remarks>

    <ownerSignature>
        <signatureName>Thomas E. Laursen, Attorney In Fact for L Simmons</signatureName>
        <signatureDate>2004-05-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0202
4
2004-05-11
0
0000109380
ZIONS BANCORPORATION /UT/
ZION
0001085551
SIMMONS L E
ONE SOUTH MAIN STREET, SUITE 1134
SALT LAKE CITY
UT
84111
1
0
0
0
Deferred Comp
0.00
2004-05-11
4
A
0
21.9029
57.02
A
Common Stock
21.9029
8525.1193
D
Each unit represents one share of the company's Common
Stock.
Deferred stock units are paid out as cash upon the earliest
of resignation, retirement or death.
Note: Also see attached Exhibit EX-24 Appointment of Attorney-In-Fact.
Thomas E. Laursen, Attorney In Fact for L Simmons
2004-05-13