<SEC-DOCUMENT>0001209191-17-034128.txt : 20170522
<SEC-HEADER>0001209191-17-034128.hdr.sgml : 20170522
<ACCEPTANCE-DATETIME>20170522112422
ACCESSION NUMBER:		0001209191-17-034128
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20170518
FILED AS OF DATE:		20170522
DATE AS OF CHANGE:		20170522

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Chubb Ltd
		CENTRAL INDEX KEY:			0000896159
		STANDARD INDUSTRIAL CLASSIFICATION:	FIRE, MARINE & CASUALTY INSURANCE [6331]
		IRS NUMBER:				000000000
		STATE OF INCORPORATION:			V8
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		BARENGASSE 32
		CITY:			ZURICH
		STATE:			V8
		ZIP:			CH-8001
		BUSINESS PHONE:		41 0 43 456 7600

	MAIL ADDRESS:	
		STREET 1:		BARENGASSE 32
		CITY:			ZURICH
		STATE:			V8
		ZIP:			CH-8001

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	CHUBB Ltd
		DATE OF NAME CHANGE:	20160115

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ACE Ltd
		DATE OF NAME CHANGE:	20091216

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ACE LTD
		DATE OF NAME CHANGE:	19930122

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BURKE SHEILA P
		CENTRAL INDEX KEY:			0001197209

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		17860094

	MAIL ADDRESS:	
		STREET 1:		WELLPOINT, INC
		STREET 2:		120 MONUMENT CIRCLE
		CITY:			INDIANAPOLIS
		STATE:			IN
		ZIP:			46240
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-05-18</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000896159</issuerCik>
        <issuerName>Chubb Ltd</issuerName>
        <issuerTradingSymbol>CB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197209</rptOwnerCik>
            <rptOwnerName>BURKE SHEILA P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CHUBB BUILDING</rptOwnerStreet1>
            <rptOwnerStreet2>17 WOODBOURNE AVE.</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM 08</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2017-05-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1227</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2707</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2017-05-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>321</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>138.56</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2386</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Market Value Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>9983.06</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9983.06</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Restricted stock award granted as director fees under a Chubb Limited long-term incentive plan (the &quot;Plan&quot;), which meets the requirements of Rule 16b-3. Such restricted stock will vest on the day of the next annual Chubb Limited shareholders meeting, assuming the reporting person is a director of Chubb Limited on such date.</footnote>
        <footnote id="F2">Common Shares  being withheld in order to pay tax liability.</footnote>
        <footnote id="F3">Market Value Units are fully vested and are payable in common shares and are paid out at separation from service, unless further deferred by the participant.</footnote>
        <footnote id="F4">Total includes Market Value Units previously reported as held by the reporting person plus 266.06 shares credited at various times between April 2016 and April 2017 to the reporting person's account pursuant to the dividend investment provisions of the Plan which meets the requirements of Rule 16b-3, but excludes derivative securities of other types and other tranches, different vesting terms, performance periods and conditions, exercise terms and conditions, and expiration dates, as applicable.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Samantha Froud, Attorney-in-fact</signatureName>
        <signatureDate>2017-05-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
