On 22 August 1969, the Air Force redesignated the wing as the 58th Tactical Fighter Training Wing and activated it under Tactical Air Command at Luke Air Force Base, Arizona, where it absorbed the personnel and equipment of the 4510th Combat Crew Training Wing. The wing conducted training of US, German Air Force, and other friendly foreign nation aircrew and support personnel, and participated in numerous operations and tactical exercises while operating Luke until April 1977. It managed Tactical Air Command's Central Instructor School from 1971–1981. Beginning in early 1983 it performed tactical fighter training for US and foreign aircrews in the General Dynamics F-16 Fighting Falcon.