The F-105C was to have been a two-seat version of the single-seat F-105B. The F-105C was intended to be used for advanced training, and the student and instructor were seated in tandem ejector seats underneath a very large single canopy. The second cockpit would replace one of the fuselage fuel cells. All of the combat capabilities of the single-seat F-105B would be retained.
In April of 1956, Republic received authorization to build five F-105Cs. However, in October of 1957, the F-105C project was cancelled before any examples could be built or flown. Nevertheless, the F-105C had reached the mockup stage at the time of the cancellation.