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

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-04-23</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000350077</issuerCik>
        <issuerName>WMS INDUSTRIES INC /DE/</issuerName>
        <issuerTradingSymbol>WMS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001042803</rptOwnerCik>
            <rptOwnerName>NICASTRO LOUIS J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WMS INDUSTRIES INC.</rptOwnerStreet1>
            <rptOwnerStreet2>800 S. NORTHPOINT BLVD.</rptOwnerStreet2>
            <rptOwnerCity>WAUKEGAN</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60085</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2009-04-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>15135</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.95</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>41751</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2009-04-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>18803</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>32.748</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22948</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>16.95</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2009-04-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>15135</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2016-08-14</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>15135</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Includes or consists of (i)  17,970 shares of restricted stock, restrictions will lapse as to (a) 3,833 shares on 9/18/09 and 9/18/2010; (b) 3,668 shares on 9/18/09; and (c) 6,636 shares when the reporting person ceases to be a director provided such reporting person gives 6 months notice of any resignation, except as otherwise agreed by the Board of Directors and (ii) 4,978 shares of Common Stock to be delivered pursuant to deferred stock units when the reporting person ceases to be a director.</footnote>
        <footnote id="F2">Reporting person sold 1 share at $30.37,  599 shares at $30.38, 1 share at $30.42, 100 shares at $30.475, 400 shares at $30.48, 200 shares at $30.483, 600 shares at $30.49, 300 shares at $30.495, 200 shares at $30.50, 100 shares at $30.557, 200 shares at $30.58, 200 shares at $30.59, 100 shares at $30.60, 700 shares at $30.61, 300 shares at $30.63, 100 shares at $30.64, 800 shares at $30.65,  300 shares at $30.66, 100 shares at $30.67,  1,500 shares at $30.68,  600 shares at $30.69, 100 shares at $30.70, 300 shares at $30.72, 500 shares at $30.73, 300 shares at $30.75, 1,300  shares at $30.755, 2,300 shares at $30.76, 1,000 shares at $30.83, 500 shares at $30.915, 1,700 shares at $30.92, 100 shares at $30.94, 2,900 shares at $30.95, 2 shares at $30.98, and 400 shares at $31.01, for an aggregate of 18,803 at an average price of $30.75 per share.</footnote>
        <footnote id="F3">Two year vesting: 7,567 shares on 8/14/2007 and 7,568 shares on 8/14/2008.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Louis J. Nicastro</signatureName>
        <signatureDate>2009-04-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
