One person is seriously injured in the accident on Friday, the country's civilian aviation authority has confirmed, reported TMZ.
Two American pilots and a Colombian were aboard the plane. An American, Alan Purwin, and a Colombian, Carlos Berl, were killed in the incident, while a third person in the plane, American pilot Jimmy Lee Garland, was rushed to a hospital in Medellin.
According to the official, the twin-engine Aerostar ran into bad weather late Friday afternoon after taking off from the colonial town of Santa Fe de Antioquia.
"Mena" is a movie about Barry Seal, a portly pilot who, in the 1980s, was a 300-pound gun runner, and drug trafficker who transported contraband for the CIA and the Medellin cartel. Production began on May 25 in Georgia, and Cruise arrived in Colombia to film the movie last month.