A convertible smart watch including a smart watch and an analog watch together, which is convertible between the smart watch and the analog watch at user's option, is disclosed. The convertible smart watch includes a frame with a through hole in the center, a watch body including an analog watch unit and a smart watch unit combined against their backs such that that analog watch be exposed to one side and the smart watch be exposed to the other side, which is rotatable inside the through hole of the frame, and a smart watch on-off unit to operate the smart watch unit, when the smart watch is exposed to the front of the frame and the analog watch is exposed to the rear of the frame.