The General Assembly could vote on Montenegro next Wednesday and it is expected to accept without problems Montenegro's membership, for which a two-thirds majority vote is required.
The 15-member Security Council decided to adopt without a formal vote a resolution recommending that Montenegro be given membership of the United Nations.
Danish Foreign Minister Per Stig Moeller, who chairs the Security Council this month, said the Council was looking forward to Montenegro's membership of the UN and close cooperation with its representatives.
Montenegrin President Filip Vujanovic applied for membership in a letter to Secretary-General Kofi Annan on June 5. On May 21, Montenegro voted for independence from Serbia after 88 years, thus completing the break-up of the Socialist Yugoslav federation.
Serbia inherited the seat in the UN until now held by the state union of Serbia and Montenegro.