<SEC-DOCUMENT>0001209191-18-031776.txt : 20180521
<SEC-HEADER>0001209191-18-031776.hdr.sgml : 20180521
<ACCEPTANCE-DATETIME>20180521154116
ACCESSION NUMBER:		0001209191-18-031776
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20180517
FILED AS OF DATE:		20180521
DATE AS OF CHANGE:		20180521

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			HERNANDEZ ROBERT M
		CENTRAL INDEX KEY:			0001072509

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11778
		FILM NUMBER:		18849449

	MAIL ADDRESS:	
		STREET 1:		USX CORP
		STREET 2:		600 GRANT ST ROOM 6105
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10260

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
</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>2018-05-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001072509</rptOwnerCik>
            <rptOwnerName>HERNANDEZ ROBERT M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>176 GROUSE POINT</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHAMPION</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>15622</rptOwnerZipCode>
            <rptOwnerStateDescription></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>2018-05-17</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>1264</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>26974.344</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2018-05-17</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>307</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>134.45</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>27145.474</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>61424</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </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">Total includes 961 Common Shares transferred from the reporting person's direct ownership to the reporting person's indirect ownership.</footnote>
        <footnote id="F3">Common Shares  being withheld in order to pay tax liability.</footnote>
        <footnote id="F4">Total includes 478.13 shares credited at various times between July 2017 and April 2018 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>2018-05-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
