<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-09-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001645113</issuerCik>
        <issuerName>NovoCure Ltd</issuerName>
        <issuerTradingSymbol>NVCR</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001693530</rptOwnerCik>
            <rptOwnerName>Longsworth Todd Christopher</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NOVOCURE INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 VALLEY STREAM PARKWAY, SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>MALVERN</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19355</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>General Counsel</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>53900</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Options to Buy Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.72</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-09-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>59520</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F18"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-04-29</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>59520</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Options to Buy Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.72</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-09-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>11632</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F18"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-04-29</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>11632</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Options to Buy Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>7.15</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-09-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>56874</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F18"/>
            </exerciseDate>
            <expirationDate>
                <value>2027-02-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>56874</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>97799</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Options to Buy Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>21.15</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-09-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>30414</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F18"/>
            </exerciseDate>
            <expirationDate>
                <value>2028-02-26</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>30414</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>86513</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Transaction was made pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth.</footnote>
        <footnote id="F2">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 22,264 shares in multiple trades at prices ranging from $86.37 to $87.24.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F3">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 28,340 shares in multiple trades at prices ranging from $87.52 to $88.51.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F4">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 6,616 shares in multiple trades at prices ranging from $88.52 to $89.44.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F5">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 2,300 shares in multiple trades at prices ranging from $89.54 to $90.26.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F6">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 4,238 shares in multiple trades at prices ranging from $86.49 to $87.25.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F7">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 6,065 shares in multiple trades at prices ranging from $87.55 to $88.54.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F8">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 929 shares in multiple trades at prices ranging from $88.55 to $89.41.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F9">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 400 shares in multiple trades at prices ranging from $89.79 to $90.18.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F10">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 20,891 shares in multiple trades at prices ranging from $86.40 to $87.27.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F11">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 24,083 shares in multiple trades at prices ranging from $87.52 to $88.51.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F12">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 7,869 shares in multiple trades at prices ranging from $88.53 to $89.50.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F13">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 4,031 shares in multiple trades at prices ranging from $89.54 to $90.32.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F14">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 11,426 shares in multiple trades at prices ranging from $86.40 to $87.24.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F15">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 14,888 shares in multiple trades at prices ranging from $87.52 to $88.51.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F16">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 2,900 shares in multiple trades at prices ranging from $88.53 to $89.36.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F17">On September 3, 2019, pursuant to a Rule 10b5-1 trading plan adopted by Mr. Longsworth, Mr. Longsworth sold 1,200 shares in multiple trades at prices ranging from $89.54 to $90.11.  The price reported above reflects the weighted average sale price.  Mr. Longsworth hereby undertakes to provide to the Staff, the issuer or any security holder of the issuer, upon request, full information regarding the number of shares and prices at which the transaction was effected.</footnote>
        <footnote id="F18">Fully vested as of the date hereof.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Todd Longsworth</signatureName>
        <signatureDate>2019-09-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
