Exhibit 1

Enerplus Resources Fund 

The Dome Tower

3000, 333-7^th Avenue SW

Calgary, Alberta T2P 2Z1

Tel 403.298.2200

Fax 403.298.2211

www.enerplus.com

November 30, 2005

FOR IMMEDIATE RELEASE

Enerplus Resources Fund

TSX:ERF.UN

NYSE:ERF

ENERPLUS ANNOUNCES CASH DISTRIBUTION

FOR DECEMBER 2005

Enerplus Resources Fund is pleased to announce that a cash distribution in the amount of CDN$0.42 (forty-two cents) per unit will be payable on December 20, 2005 to all Unitholders of record on December 10, 2005. The ex-distribution date for this payment is December 7, 2005.

The CDN$0.42 (forty-two cents) per unit is equivalent to approximately US$0.36 (thirty-six cents) per unit if converted using a Canadian/US dollar exchange ratio of 1.17. The US dollar equivalent distribution will be based upon the actual Canadian/US exchange rate applied on the payment date and will be net of any Canadian withholding taxes that may apply.

For further information, please contact Investor Relations at 1-800-319-6462 or e-mail investorrelations@enerplus.com.

Eric Tremblay

Senior Vice-President, Capital Markets

Enerplus Resources Fund

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Except for the historical and present factual information contained herein, the matters set forth in this news release, including words such as “expects”, “projects”, “plans” and similar expressions, are forward-looking information that represents management of Enerplus’ internal projections, expectations or beliefs concerning, among other things, future operating results and various components thereof or the economic performance of Enerplus. The projections, estimates and beliefs contained in such forward-looking statements necessarily involve known and unknown risks and uncertainties, which may cause Enerplus’ actual performance and financial results in future periods to differ materially from any projections of future performance or results expressed or implied by such forward-looking statements. These risks and uncertainties include, among other things, those described in Enerplus’ filings with the Canadian and U.S. securities authorities. Accordingly, holders of Enerplus Trust Units and potential investors are cautioned that events or circumstances could cause results to differ materially from those predicted.