The Venezuelan Supreme Court had ruled in favor of a lower court petition seeking extradition from the United States of a Cuban militant wanted in connection with the 1976 bombing of a Cuban Jet liner that killed 73 people.
A statement from the Supreme Court Tuesday said Luis Posada Carriles should be tried in Venezuela.
Mr. Posada escaped from a Venezuelan prison before he could be tried in 1985 over the bombing. He was later jailed in Panama where he was accused in a plot to kill Cuban President Fidel Castro. He was pardoned last year on that charge.
Mr. Posada applied for asylum in the United States last month.