The association voted not to hand out the awards, which can boost interest in a film and predict its Oscar chances. Members said they would consider resuming the awards if the studios again hand out videos and DVDs of new films.
The major studios and their trade group, the Motion Picture Association of America, agreed in September to stop sending "screener" copies to the 5,600 Academy Awards voters and other groups that hand out awards, including the Los Angeles Film Critics and the National Society of Film Critics.
The studios hoped to prevent piracy, but the move angered supporters of smaller movies who say voters may miss independent pictures if they have to see them at screenings in theaters.
Opponents of the ban say screener distribution has led to several Academy Awards for smaller films, including best actress wins for Halle Berry in 2001's "Monster's Ball" and Hilary Swank in 1999's "Boys Don't Cry."
Ella Taylor, a critic for the LA Weekly, suggested the cancellation and said she hoped other critics groups also would withhold awards. She said there were many films released toward the end of the year, and that voters may not be able to see them all without screeners.
"Unless they rescind the ban we just don't feel that we can really do our work properly," she said.
MPAA officials did not return calls for comment Sunday.
Jean Oppenheimer, the president of the association, said many critics see films in theaters but use screener copies to view films again as they decide the best pictures of the year.
"This really helps inform us better," said Oppenheimer, who reviews films for New Times, National Public Radio and other outlets.