-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 GKggYtBRcG6mk4g+pYQA1JTdtTxRfgbUiCr7/copn19gEZ1jYSiWiH9xzvTFYr8C
 D8C7fq/+FZ6xJv0M7nZoOA==

<SEC-DOCUMENT>0001181431-03-031294.txt : 20031117
<SEC-HEADER>0001181431-03-031294.hdr.sgml : 20031117
<ACCEPTANCE-DATETIME>20031117141244
ACCESSION NUMBER:		0001181431-03-031294
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031113
FILED AS OF DATE:		20031117

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:			SMURFIT DERMOT F
		CENTRAL INDEX KEY:			0001072515
		STATE OF INCORPORATION:			IL
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		031007582

	BUSINESS ADDRESS:	
		STREET 1:		C/O SMURFIT STONE CONTAINER CORP
		STREET 2:		150 NORTH MICHIGAN AVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60601
		BUSINESS PHONE:		3123466600

	MAIL ADDRESS:	
		STREET 1:		C/O SMURFIT STONE CONTAINER CORP
		STREET 2:		150 NORTH MICHIGAN AVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60601
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>rrd22933.xml
<TEXT>
<XML>
<?xml version="1.0"?><ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType><periodOfReport>2003-11-13</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000896159</issuerCik>
        <issuerName>ACE LTD</issuerName>
        <issuerTradingSymbol>ACE</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001072515</rptOwnerCik>
            <rptOwnerName>SMURFIT DERMOT F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>GLOUCESTER PARK</rptOwnerStreet1>
            <rptOwnerStreet2>12 GLOUCESTER GATE, REGENT'S PARK</rptOwnerStreet2>
            <rptOwnerCity>LONDON</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode>NW1 4HG</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>2003-11-13</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F1"/></transactionCoding><transactionAmounts><transactionShares><value>28</value><footnoteId id="F1"/></transactionShares><transactionPricePerShare><value>0.00</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>9712</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></no
nDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Ordinary Shares</value></securityTitle><transactionDate><value>2003-11-13</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F1"/></transactionCoding><transactionAmounts><transactionShares><value>28</value><footnoteId id="F1"/></transactionShares><transactionPricePerShare><value>0.00</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>9740</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>Ordinary Shares</value></securityTitle><transactionDate><value>2003-11-13</value><
/transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F1"/></transactionCoding><transactionAmounts><transactionShares><value>84</value><footnoteId id="F1"/></transactionShares><transactionPricePerShare><value>0.00</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>9824</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes><footnote id="F1">Represents Ordinary Shares granted as board, commitee meeting or chairman award pursuant to the ACE Limited 1995 Outside Directors Plan which meets the requirements of Rule 16b-3.</footnote></footnotes><ownerSignature><signatureName>
Signed for Dermot F. Smurfit by Keith White pursuant to a power of attorney on file with the Securities and Exchange Commission</signatureName><signatureDate>2003-11-17</signatureDate></ownerSignature></ownershipDocument>



</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----