A clutch apparatus is configured such that a first mode, a second mode and a third can be switched among these three modes. In the first mode, the rotating force is not transmitted between the steering-wheel-side housing and the tire-side housing. In the second mode, the steering-wheel-side housing and the tire-side housing are being mutually locked in place and, in this locked state, the rotating force can be transmitted to for the rotation in the both directions. In the third mode, the transmission of the rotating force can be canceled such that while the rotating force can be transmitted, between the steering-wheel-side housing and the tire-side housing, relative to the rotation in one direction, the rotation of either the steering-wheel-side housing or the tire-side housing in the other direction is allowed.