A rear wheel steering device steers rear wheels of a vehicle by using two electric motors. When the two electric motors are in normal condition, both electric motors are driven to steer the rear wheels. When one electric motor is in an abnormal state while the other electric motor is in a normal state and when a vehicle speed exceeds a given speed, the steering device controls steering of the rear wheels by using only the other electric motor being in normal condition. Since the employed electric motors are small-sized and inexpensive, the rear wheel steering device can be downsized and provided at a relatively low cost.