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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2007-05-15</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000947484</issuerCik>
        <issuerName>ARCH CAPITAL GROUP LTD.</issuerName>
        <issuerTradingSymbol>ACGL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001162958</rptOwnerCik>
            <rptOwnerName>H&amp;F CORP INVESTORS IV BERMUDA  LTD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O A.S. &amp; K. SERVICES, LTD.</rptOwnerStreet1>
            <rptOwnerStreet2>CEDAR HOUSE, 41 CEDAR AVENUE</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON HM 12 BERMUDA</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares, $0.01 par value per share</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2007-05-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4674022</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Partnership</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">THE REPORTING PERSONS ARE, AND THIS FORM 4 IS FILED ON BEHALF OF, HFCP IV (BERMUDA), L.P. (&quot;HFCP IV BERMUDA&quot;), H&amp;F INTERNATIONAL PARTNERS IV-A (BERMUDA), L.P. (&quot;HFIP IV-A BERMUDA&quot;), H&amp;F INTERNATIONAL PARTNERS IV-B (BERMUDA), L.P. (&quot;HFIP IV-B BERMUDA&quot;) AND H&amp;F EXECUTIVE FUND IV (BERMUDA), L.P. (&quot;HFEF BERMUDA&quot; AND COLLECTIVELY, THE &quot;PARTNERSHIPS&quot;).  H&amp;F INVESTORS IV (BERMUDA), L.P. (&quot;HFI IV BERMUDA&quot;) IS THE SOLE GENERAL PARTNER OF EACH OF THE PARTNERSHIPS. H&amp;F CORPORATE INVESTORS IV (BERMUDA), LTD. (&quot;HFCI BERMUDA&quot;) IS THE SOLE GENERAL PARTNER OF HFI IV BERMUDA. A FIVE MEMBER INVESTMENT COMMITTEE OF HFCI BERMUDA FORMED BY THE SHAREHOLDERS OF HFCI BERMUDA (&quot;THE INVESTMENT COMMITTEE&quot;) HAS INVESTMENT DISCRETION OVER THE SECURITIES. AS A RESULT, HFCI BERMUDA AND HFI IV BERMUDA MAY BE DEEMED TO CONTROL THE PARTNERSHIPS. THE MEMBERS OF THE INVESTMENT COMMITTEE DISCLAIM BENEFICIAL OWNERSHIP, EXCEPT TO THE EXTENT OF THEIR RESPECTIVE INDIRECT PECUNIARY INTERESTS IN THE ISSUER.</footnote>
        <footnote id="F2">ON MAY 15, 2007, HFCP IV BERMUDA, HFIP IV-A BERMUDA, HFIP IV-B BERMUDA AND HFEF BERMUDA DISTRIBUTED TO THEIR RESPECTIVE LIMITED PARTNERS 3,766,638, 618,132, 204,201 AND 85,051 COMMON SHARES, RESPECTIVELY (COLLECTIVELY 4,674,022 COMMON SHARES), OF THE ISSUER IN ACCORDANCE WITH THEIR APPLICABLE PARTNERSHIP AGREEMENTS.</footnote>
        <footnote id="F3">FOLLOWING THE DISTRIBUTION DESCRIBED IN NOTE 2, HFCP IV BERMUDA, HFIP IV-A BERMUDA, HFIP IV-B BERMUDA AND HFEF BERMUDA BENEFICIALLY OWN NO COMMON SHARES OF THE ISSUER.  SHARE COUNT EXCLUDES 11,916 COMMON SHARES AND 3,300 OPTIONS TO ACQUIRE COMMON SHARES GRANTED TO DESIGNEES OF THE PARTNERSHIPS TO THE BOARD OF DIRECTORS OF THE ISSUER, WHICH SHARES AND OPTIONS ARE HELD PROPORTIONATELY FOR THE BENEFIT OF THE PARTNERSHIPS.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Georgia Lee, Vice President</signatureName>
        <signatureDate>2007-05-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
