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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-04-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000002230</issuerCik>
        <issuerName>ADAMS EXPRESS CO</issuerName>
        <issuerTradingSymbol>ADX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001202953</rptOwnerCik>
            <rptOwnerName>JONES MAUREEN A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7 ST PAUL STREET</rptOwnerStreet1>
            <rptOwnerStreet2>STE 1140</rptOwnerStreet2>
            <rptOwnerCity>BALTIMORE</rptOwnerCity>
            <rptOwnerState>MD</rptOwnerState>
            <rptOwnerZipCode>21202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Vice Pres., CFO &amp; Treasurer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-04-27</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2004-04-30</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>I</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>55</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.9</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>14219</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>see footnote 2</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">There was a decrease in the undersigned's number of shares held by Petroleum &amp; Resources Corporation (PEO) Thrift Plan Trust due to a loan obtained by the undersigned from the Trust in a transaction exempt under 16(b)(3).</footnote>
        <footnote id="F2">The number of shares is based on information as of 4/30/2004.  Of these shares, 14,167 shares are held in the Issuer's Thrift Plan Trust and 52 shares are held in Petroleum &amp; Resources Corporation Thrift Plan Trust and represent the undersigned's proportionate beneficial interests held in both Trusts.  This number also reflects periodic contributions made during 2004 and changes in the number of shares previously reported (as of December 31, 2003, Form 5) due to fluctuations in the market price and interests in the Trust.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Maureen A. Jones</signatureName>
        <signatureDate>2004-05-03</signatureDate>
    </ownerSignature>
</ownershipDocument>

