A single-stage X-band FEL with a high repetition rate (̃ kHz) has been designed and is now under construction at the KEK FEL facility. The microwave FEL will be driven with a 1 MeV, 1 kA electron beam which is generated in the induction gun energized by magnetic switches. A 9.4 GHz microwave signal introduced from the 50 kW magnetron is expected to be amplified to ̃ 300 MW as a result of the interaction with the electron beam in the undulating tapered planar wiggler field. Details of the design including the induction gun, a post-accelerator, a wiggler magnet and an rf measuring system are described. The status and the preliminary operation of the pulsed power system is presented.