-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 UH0BG7RaUkn+kwm5Ek9ex7nGnLDHUDYMsNcNXgHiz30VSED/wTMBTmzEh53fqZ7E
 BxrM5me8Ru5snmaJboyoFg==

<SEC-DOCUMENT>0001076268-11-000002.txt : 20110301
<SEC-HEADER>0001076268-11-000002.hdr.sgml : 20110301
<ACCEPTANCE-DATETIME>20110301112001
ACCESSION NUMBER:		0001076268-11-000002
CONFORMED SUBMISSION TYPE:	D/A
PUBLIC DOCUMENT COUNT:		1
ITEM INFORMATION:		Rule 506
ITEM INFORMATION:		Investment Company Act Section 3(c)
ITEM INFORMATION:		Section 3(c)(7)
FILED AS OF DATE:		20110301
DATE AS OF CHANGE:		20110301
EFFECTIVENESS DATE:		20110301

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Zweig DiMenna Natural Resources Ltd
		CENTRAL INDEX KEY:			0001390724
		IRS NUMBER:				000000000
		STATE OF INCORPORATION:			D8

	FILING VALUES:
		FORM TYPE:		D/A
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	021-100288
		FILM NUMBER:		11649679

	BUSINESS ADDRESS:	
		STREET 1:		C/O CITI HEDGE FUND SERVICES (IRELAND),
		STREET 2:		ONE NORTH WALL QUAY
		CITY:			DUBLIN 1
		STATE:			L2
		ZIP:			00000
		BUSINESS PHONE:		35314367200

	MAIL ADDRESS:	
		STREET 1:		C/O CITI HEDGE FUND SERVICES (IRELAND),
		STREET 2:		ONE NORTH WALL QUAY
		CITY:			DUBLIN 1
		STATE:			L2
		ZIP:			00000
</SEC-HEADER>
<DOCUMENT>
<TYPE>D/A
<SEQUENCE>1
<FILENAME>primary_doc.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<edgarSubmission>

    <schemaVersion>X0704</schemaVersion>

    <submissionType>D/A</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0001390724</cik>
        <entityName>Zweig DiMenna Natural Resources Ltd</entityName>
        <issuerAddress>
            <street1>C/O CITI HEDGE FUND SERVICES (IRELAND),</street1>
            <street2>ONE NORTH WALL QUAY</street2>
            <city>DUBLIN 1</city>
            <stateOrCountry>L2</stateOrCountry>
            <stateOrCountryDescription>IRELAND</stateOrCountryDescription>
            <zipCode>00000</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>35314367200</issuerPhoneNumber>
        <jurisdictionOfInc>VIRGIN ISLANDS, BRITISH</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <value>None</value>
        </edgarPreviousNameList>
        <entityType>Other</entityType>
        <entityTypeOtherDesc>Business Company</entityTypeOtherDesc>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2007</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>John</firstName>
                <lastName>Banks</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Citi Hedge Fund Services (Ireland)</street1>
                <street2>One North Wall Quay</street2>
                <city>Dublin 1</city>
                <stateOrCountry>L2</stateOrCountry>
                <stateOrCountryDescription>IRELAND</stateOrCountryDescription>
                <zipCode>0000000000</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>David</firstName>
                <lastName>Litton</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Citi Hedge Fund Services (Ireland)</street1>
                <street2>One North Wall Quay</street2>
                <city>Dublin 1</city>
                <stateOrCountry>L2</stateOrCountry>
                <stateOrCountryDescription>IRELAND</stateOrCountryDescription>
                <zipCode>0000000000</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Kieron</firstName>
                <lastName>O'Rourke</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Citi Hedge Fund Services (Ireland)</street1>
                <street2>One North Wall Quay</street2>
                <city>Dublin 1</city>
                <stateOrCountry>L2</stateOrCountry>
                <stateOrCountryDescription>IRELAND</stateOrCountryDescription>
                <zipCode>0000000000</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></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>06</item>
            <item>3C</item>
            <item>3C.7</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>true</isAmendment>
                <previousAccessionNumber>0001390724-10-000004</previousAccessionNumber>
            </newOrAmendment>
            <dateOfFirstSale>
                <value>2007-06-01</value>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>true</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>50000</minimumInvestmentAccepted>
        <salesCompensationList></salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>10944000</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
            <clarificationOfResponse></clarificationOfResponse>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>5</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
            <clarificationOfResponse></clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>37500</dollarAmount>
            </grossProceedsUsed>
            <clarificationOfResponse>Annual Directors' Fees</clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>Zweig DiMenna Natural Resources Ltd</issuerName>
                <signatureName>John Banks</signatureName>
                <nameOfSigner>John Banks</nameOfSigner>
                <signatureTitle>Director</signatureTitle>
                <signatureDate>2011-03-01</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----