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

    <schemaVersion>X0708</schemaVersion>

    <submissionType>D</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0002015294</cik>
        <entityName>Seligman Healthcare Spectrum Offshore Fund</entityName>
        <issuerAddress>
            <street1>BOX 309, UGLAND HOUSE</street1>
            <street2>SOUTH CHURCH STREET</street2>
            <city>GEORGE TOWN, GRAND CAYMAN</city>
            <stateOrCountry>E9</stateOrCountry>
            <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
            <zipCode>KY1-1104</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>212-850-1802</issuerPhoneNumber>
        <jurisdictionOfInc>CAYMAN ISLANDS</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <value>None</value>
        </edgarPreviousNameList>
        <entityType>Other</entityType>
        <entityTypeOtherDesc>An exempted company incorporated with limited liability under the laws of the Cayman Islands</entityTypeOtherDesc>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2024</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>John</firstName>
                <lastName>Banks</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>290 Congress Street</street1>
                <city>Boston</city>
                <stateOrCountry>MA</stateOrCountry>
                <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                <zipCode>02210</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>David</firstName>
                <middleName>C.</middleName>
                <lastName>Litton</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>290 Congress Street</street1>
                <city>Boston</city>
                <stateOrCountry>MA</stateOrCountry>
                <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                <zipCode>02210</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Grant</firstName>
                <middleName>K.</middleName>
                <lastName>Jackson</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>290 Congree Street</street1>
                <city>Boston</city>
                <stateOrCountry>MA</stateOrCountry>
                <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                <zipCode>02210</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Arthur</firstName>
                <lastName>Condron</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>290 Congress Street</street1>
                <city>Boston</city>
                <stateOrCountry>MA</stateOrCountry>
                <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                <zipCode>02210</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Matthew</firstName>
                <lastName>Rich</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>290 Congress Street</street1>
                <city>Boston</city>
                <stateOrCountry>MA</stateOrCountry>
                <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                <zipCode>02210</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Mr. Rich is an authorized signatory of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Amy</firstName>
                <middleName>L.</middleName>
                <lastName>Hackbarth</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>5228 Ameriprise Financial Center</street1>
                <city>Minneapolis</city>
                <stateOrCountry>MN</stateOrCountry>
                <stateOrCountryDescription>MINNESOTA</stateOrCountryDescription>
                <zipCode>55474</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Ms. Hackbarth is an authorized signatory of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Pooled Investment Fund</industryGroupType>
            <investmentFundInfo>
                <investmentFundType>Hedge Fund</investmentFundType>
                <is40Act>false</is40Act>
            </investmentFundInfo>
        </industryGroup>
        <issuerSize>
            <aggregateNetAssetValueRange>Decline to Disclose</aggregateNetAssetValueRange>
        </issuerSize>
        <federalExemptionsExclusions>
            <item>3C.7</item>
            <item>06b</item>
            <item>3C</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>false</isAmendment>
            </newOrAmendment>
            <dateOfFirstSale>
                <yetToOccur>true</yetToOccur>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>true</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isEquityType>true</isEquityType>
            <isOtherType>true</isOtherType>
            <descriptionOfOtherType>Shares. The minimum initial investment is $1,000,000 and the minimum subsequest investment is $50,000, both of which may be waived by the Investment Manager of the Issuer. The minimum amount is subject to Cayman Islands law of $100,000.</descriptionOfOtherType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>100000</minimumInvestmentAccepted>
        <salesCompensationList>
            <recipient>
                <recipientName>None</recipientName>
                <recipientCRDNumber>None</recipientCRDNumber>
                <associatedBDName>Columbia Management Investment Distributors, Inc.</associatedBDName>
                <associatedBDCRDNumber>840</associatedBDCRDNumber>
                <recipientAddress>
                    <street1>290 Congress Street</street1>
                    <city>Boston</city>
                    <stateOrCountry>MA</stateOrCountry>
                    <stateOrCountryDescription>MASSACHUSETTS</stateOrCountryDescription>
                    <zipCode>02210</zipCode>
                </recipientAddress>
                <statesOfSolicitationList>
                    <value>All States</value>
                </statesOfSolicitationList>
            </recipient>
        </salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>0</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>0</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
                <isEstimate>true</isEstimate>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
            <clarificationOfResponse>The Persons names in Item 12 does not receive compensation from the Issuer but are paid payments from the Investment Manager of the Issuer for support of its marketing efforts. Such amounts cannot be estimated.</clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>0</dollarAmount>
            </grossProceedsUsed>
        </useOfProceeds>
        <signatureBlock>
            <signature>
                <issuerName>Seligman Healthcare Spectrum Offshore Fund</issuerName>
                <signatureName>/s/ Matthew Rich</signatureName>
                <nameOfSigner>Matthew Rich</nameOfSigner>
                <signatureTitle>Authorized Signatory of the Issuer</signatureTitle>
                <signatureDate>2024-03-26</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
