A method for fabricating a semiconductor device includes: forming a GaN-based semiconductor layer on a substrate; forming a gate insulating film of aluminum oxide on the GaN-based semiconductor layer at a temperature equal to or lower than 450° C.; forming a protection film on an upper surface of the gate insulating film; performing a process with an alkaline solution in a state in which the upper surface of the gate insulating film is covered with the protection film; and forming a gate electrode on the gate insulating film.