-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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 36iAagqcBhY/31IAP2WxvQ==

<SEC-DOCUMENT>0001181431-04-031521.txt : 20040621
<SEC-HEADER>0001181431-04-031521.hdr.sgml : 20040621
<ACCEPTANCE-DATETIME>20040621140757
ACCESSION NUMBER:		0001181431-04-031521
CONFORMED SUBMISSION TYPE:	4/A
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040527
FILED AS OF DATE:		20040621

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			ACE LTD
		CENTRAL INDEX KEY:			0000896159
		STANDARD INDUSTRIAL CLASSIFICATION:	FIRE, MARINE & CASUALTY INSURANCE [6331]
		IRS NUMBER:				000000000
		STATE OF INCORPORATION:			D0
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		ACE BLDG
		STREET 2:		30 WOODBOURNE AVE
		CITY:			HAMILTON HM 08 BERMU
		STATE:			D0
		ZIP:			00000
		BUSINESS PHONE:		8092955200

	MAIL ADDRESS:	
		STREET 1:		P O BOX HM 1015
		CITY:			HAMITON BERMUDA
		STATE:			D0
		ZIP:			00000

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			SCOTT WALTER A
		CENTRAL INDEX KEY:			0001057427

	FILING VALUES:
		FORM TYPE:		4/A
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		04872282

	BUSINESS ADDRESS:	
		STREET 1:		ACE LTD
		STREET 2:		14 PAR LA VILLE ROAD
		CITY:			HAMITON
		BUSINESS PHONE:		4412999345

	MAIL ADDRESS:	
		STREET 1:		ACE LTD
		STREET 2:		14 PAR LA VILLE ROAD
		CITY:			BERMUDA
</SEC-HEADER>
<DOCUMENT>
<TYPE>4/A
<SEQUENCE>1
<FILENAME>rrd45798.xml
<DESCRIPTION>AMENDMENT TO REFLECT DIVIDEND ACCRUALS
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2004-05-27</periodOfReport>

    <dateOfOriginalSubmission>2004-06-01</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000896159</issuerCik>
        <issuerName>ACE LTD</issuerName>
        <issuerTradingSymbol>ACE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001057427</rptOwnerCik>
            <rptOwnerName>SCOTT WALTER A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ACE GLOBAL HEADQUARTERS</rptOwnerStreet1>
            <rptOwnerStreet2>17 WOODBOURNE AVENUE</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON, BERMUDA</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode>HM 08</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2004-05-27</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2168.675</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>41.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>387532.655</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Stock units, representing the right to receive Ordinary Shares, granted as an annual director retainer fee issued under the ACE Limited 2004 Long-Term Incentive Plan (the &quot;Plan&quot;), which meets the requirements of Rule 16b-3.  Such stock units will vest on the day prior to the date of the next annual ACE Limited shareholder meeting, assuming the reporting person is a director of ACE Limited on such date.  Ordinary Shares will be issued for such stock units six months after the Director's termination from the Board or pursuant to such later deferral schedule as the director may elect.</footnote>
        <footnote id="F2">The total has been adjusted to reflect a correction to the share units credited to the reporting person's deferred stock account pursuant to the dividend reinvestment provisions of the ACE Limited Equity Linked Incentive Plan-Stock Appreciation Rights Plan which meets the requirements of Rule 16b-3.  As explained in footnote 1 to Mr. Scott's Form 5 amendment with respect to ACE Limited's fiscal year ended December 31, 2001, due to an administrative error, there previously had been an overreporting of 201.16 share units from the dividend reinvestment.</footnote>
        <footnote id="F3">Total includes a total of 4,764.10 share units credited a various times from January 10, 2003 thru January 14, 2004 to the reporting person's deferred stock account pursuant to the dividend reinvestment provisions of the ACE Limited 1995 Outside Directors Plan which meets the requirements of Rule 16b-3.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>By: Peter N. Mear  Attorney-in-fact</signatureName>
        <signatureDate>2004-06-21</signatureDate>
    </ownerSignature>
</ownershipDocument>

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