<SEC-DOCUMENT>0001209191-17-034164.txt : 20170522
<SEC-HEADER>0001209191-17-034164.hdr.sgml : 20170522
<ACCEPTANCE-DATETIME>20170522115431
ACCESSION NUMBER:		0001209191-17-034164
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:			Steimer Olivier
		CENTRAL INDEX KEY:			0001439107

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		17860198

	MAIL ADDRESS:	
		STREET 1:		BANQUE CANTONALE VAUDOISE
		STREET 2:		P.O. BOX 300
		CITY:			LAUSANNE
		STATE:			V8
		ZIP:			1001
</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>0001439107</rptOwnerCik>
            <rptOwnerName>Steimer Olivier</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>BANQUE CANTONALE VAUDOISE</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 300</rptOwnerStreet2>
            <rptOwnerCity>LAUSANNE</rptOwnerCity>
            <rptOwnerState>V8</rptOwnerState>
            <rptOwnerZipCode>1001</rptOwnerZipCode>
            <rptOwnerStateDescription>SWITZERLAND</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>18798.21</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>87</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>138.56</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>18782.62</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <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">Total includes 71.41 shares credited at various times between July 2016 and April 2017 to the reporting person's deferred stock account pursuant to the dividend investment provisions of the Plan which meets the requirements of Rule 16b-3.</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>
