-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0001181431-04-033861.txt : 20040702
<SEC-HEADER>0001181431-04-033861.hdr.sgml : 20040702
<ACCEPTANCE-DATETIME>20040702143723
ACCESSION NUMBER:		0001181431-04-033861
CONFORMED SUBMISSION TYPE:	4/A
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040527
FILED AS OF DATE:		20040702

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:			ATIEH MICHAEL G
		CENTRAL INDEX KEY:			0001072501

	FILING VALUES:
		FORM TYPE:		4/A
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		04899309

	BUSINESS ADDRESS:	
		STREET 1:		MERCK MEDCO MANAGED CARE INC
		STREET 2:		100 SUMMIT AVE
		CITY:			MONTVALE
		STATE:			NJ
		ZIP:			07645
		BUSINESS PHONE:		2107823850

	MAIL ADDRESS:	
		STREET 1:		MERCK MEDCO MANAGED CARE INC
		STREET 2:		100 SUMMIT AVE
		CITY:			MONTVALE
		STATE:			NJ
		ZIP:			07645
</SEC-HEADER>
<DOCUMENT>
<TYPE>4/A
<SEQUENCE>1
<FILENAME>rrd46475.xml
<DESCRIPTION>FORM 4 AMENDMENT
<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>0001072501</rptOwnerCik>
            <rptOwnerName>ATIEH MICHAEL G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10 LONGWOOD ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MORRISTOWN</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07960</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>18842.027</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <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="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>240.964</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>41.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19291.445</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </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">Stock units, representing the right to receive Ordinary Shares, granted for serving on the Audit Committee, issued under the Plan, which meets the requirements of Rule 16b-3.  One-fourth of such stock units will vest at the end of each quarter following grant, 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="F3">In addition, reporting person indirectly owns 7,000 Ordinary Shares in the name of his wife.</footnote>
        <footnote id="F4">Total includes 208.454 share units credited at various times from July 14, 2003 thru April 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: Keith White  Attorney-in-fact</signatureName>
        <signatureDate>2004-07-02</signatureDate>
    </ownerSignature>
</ownershipDocument>

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