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

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-08-16</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001065049</issuerCik>
        <issuerName>LEAP WIRELESS INTERNATIONAL INC</issuerName>
        <issuerTradingSymbol>LEAP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001301392</rptOwnerCik>
            <rptOwnerName>MHR Institutional Advisors II LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>40 WEST 57TH STREET</rptOwnerStreet1>
            <rptOwnerStreet2>24TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3340378</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8415428</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These shares of the Issuer's common stock, par value $.0001 per share (&quot;Shares&quot;), are held for the account of MHR Institutional Partners II LP, a Delaware limited partnership (&quot;Institutional Partners II&quot;).  The Reporting Person is the general partner of Institutional Partners II.  In such capacity, the Reporting Person may be deemed to be the beneficial owner of the Shares held for the account of Institutional Partners II.</footnote>
        <footnote id="F2">These Shares are held for the account of MHR Institutional Partners IIA LP, a Delaware limited partnership (&quot;Institutional Partners IIA&quot;).  The Reporting Person is the general partner of Institutional Partners IIA.  In such capacity, the Reporting Person may be deemed to be the beneficial owner of the Shares held for the account of Institutional Partners IIA.</footnote>
        <footnote id="F3">The filing of this statement shall not be deemed an admission that the Reporting Person is the beneficial owner of any securities not held directly for its account for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or otherwise.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Mark H. Rachesky, M.D., as managing member</signatureName>
        <signatureDate>2004-08-26</signatureDate>
    </ownerSignature>
</ownershipDocument>

