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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2019-05-07</periodOfReport>

    <dateOfOriginalSubmission>2019-02-21</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001173489</issuerCik>
        <issuerName>CEVA INC</issuerName>
        <issuerTradingSymbol>CEVA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001200826</rptOwnerCik>
            <rptOwnerName>WERTHEIZER GIDEON</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CEVA, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>1174 CASTRO STREET, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>MOUNTAIN VIEW</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94040</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </securityTitle>
            <transactionDate>
                <value>2019-05-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>10000</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>112408</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Restricted Stock Units were granted pursuant to the CEVA, Inc. 2011 Stock Incentive Plan.</footnote>
        <footnote id="F2">Each Restricted Stock Unit represents the contingent right to receive one share of CEVA, Inc. common stock upon vesting of the unit.</footnote>
        <footnote id="F3">The Restricted Stock Units vest 33.4% on February 19, 2020, 33.3% on February 19, 2021, 33.3% on February 19, 2022.</footnote>
        <footnote id="F4">On May 7, 2019, the Compensation Committee of the Board of Directors of CEVA, Inc. and Mr. Wertheizer mutually agreed to amend the award of 30,000 time-based Restricted Stock Units that Mr. Wertheizer received on February 19, 2019 in lieu for (i) 10,000 time-based Restricted Stock Units and (ii) the opportunity to receive up to 24,000 performance-based Restricted Stock Units (the &quot;PSUs&quot;). As the PSUs only vest upon satisfaction of performance criteria (which is not tied to the price of CEVA, Inc.'s common stock), the PSUs are not being reported in this Form 4.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gideon Wertheizer</signatureName>
        <signatureDate>2019-05-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
