The meeting was slated to run from 3:30 pm (1930 GMT) to 6:00 pm (2200 GMT).
Silvia Espindola, spokesman for Ecuador's UN mission, which chairs the
Group of Latin American and Caribbean Countries (GRULAC), described the monthly meeting as "procedural".
In 41 rounds of balloting, the 192-member General Assembly has given neither Guatemala nor Venezuela the two-thirds majority needed to win one of the 10 rotating UN Security Council seats, which will represent the region.
The council seat "will certainly come up because it concerns us all," he said.
However, he said, "nothing has changed" as long as both countries say they will stay in the race, which began October 16.
Balloting is now in its third week, despite intense lobbying by the United States, which backs Guatemala over Venezuela, whose president, Hugo Chavez, has a running battle of words with US President George W. Bush.
Balloting will resume Tuesday at 10:00 am (1400 GMT) unless a solution is found beforehand, such as identifying a third consensus candidate to represent the region when Argentina leaves the council on January 1.
Venezuela has put out feelers to Bolivian President Evo Morales, and the Dominican Republic's President Leonel Fernandez about their possible candidacies.

Copyright AFP (Agence France-Presse), 2006