Hsieh Pei-hsun was conscious and taken to a military hospital for an exam. He had been flying off the coast of Hsinchu, a city south of Taipei on the island's west side.
Taiwan purchased Mirage 2000 jets from France during the 1990s and relies on them as well as U.S.-made F-16Vs for its air force.
The self-ruled Taiwan faces frequent military exercises near its waters by China, which claims the island as its territory and threatens to use military force to bring it under its control.