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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-06-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000832988</issuerCik>
        <issuerName>SIGNET JEWELERS LTD</issuerName>
        <issuerTradingSymbol>SIG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001175522</rptOwnerCik>
            <rptOwnerName>SOKOLOFF JONATHAN D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>11111 SANTA MONICA BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 2000</rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares, par value $0.18</value>
            </securityTitle>
            <transactionDate>
                <value>2019-06-14</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7444</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>13506</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Series A Convertible Preference Shares</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>86.5853</value>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F6"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7218313</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7218313</value>
                    <footnoteId id="F7"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F7"/>
                    <footnoteId id="F8"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Granted as compensation for services.</footnote>
        <footnote id="F2">The shares reported on this row were granted in respect of Mr. Sokoloff's service on the Issuer's board of directors and are held by Mr. Sokoloff for the benefit of Leonard Green &amp; Partners, L.P.</footnote>
        <footnote id="F3">Series A Convertible Preference Shares, par value $0.01 per share (&quot;Series A Preference Shares&quot;).</footnote>
        <footnote id="F4">The Series A Preference Shares were acquired for $1,000.00 per share and are convertible into Common Shares of the issuer at a current conversion price of $86.5853 per share at a conversion rate of 11.5493 Common Shares per Series A Preference Share.  The conversion rate is subject to certain anti-dilution and other adjustments and is subject to change.  Since the acquisition of the Series A Preference Shares, the conversion rate has been adjusted as a result of these anti-dilution adjustments.</footnote>
        <footnote id="F5">Immediately.</footnote>
        <footnote id="F6">The Series A Preference Shares do not have an expiration date.</footnote>
        <footnote id="F7">Green Equity Investors VI, L.P. (&quot;GEI VI&quot;), Green Equity Investors Side VI, L.P. (&quot;GEI Side VI&quot;), LGP Associates VI-A LLC (&quot;Associates VI-A&quot;) and LGP Associates VI-B LLC (&quot;Associates VI-B&quot;) are the direct owners of the shares reported herein.  Of the shares reported on this row, GEI VI is the direct owner of 387,522 Series A Preference Shares which are convertible into 4,475,608 Common Shares, GEI Side VI is the direct owner of 230,963 Series A Preference Shares which are convertible into 2,667,461 Common Shares, Associates VI-A is the direct owner of 470 Series A Preference Shares which are convertible into 5,428 Common Shares, and Associates VI-B is the direct owner of 6,045 Series A Preference Shares which are convertible into 69,816 Common Shares.</footnote>
        <footnote id="F8">Mr. Sokoloff directly (whether through ownership or position) or indirectly through one or more intermediaries, may be deemed for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, to be the indirect beneficial owner of the shares owned by GEI VI, GEI Side VI, Associates VI-A and Associates VI-B.  Mr. Sokoloff disclaims beneficial ownership of the shares reported herein except to the extent of his pecuniary interest therein and this report shall not be deemed an admission that he is the beneficial owner of such securities for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Andrew Goldberg, as attorney-in-fact</signatureName>
        <signatureDate>2019-06-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
