When the driver makes a request for switching the shift range to the P range despite that the vehicle has not yet stopped completely, the wheel cylinder pressure is maintained at a brake hold pressure Ph for a while, rather than switching the shift range to the P range immediately. At this time, more specifically, the wheel cylinder pressure is maintained at the brake hold pressure Ph for a brake hold duration Δt within which the vehicle is estimated to stop, and when the brake hold duration Δt has passed, the shift range is switched to the P range. After the lock mechanism is actuated to establish the P range, the wheel cylinder pressure is gradually reduced from the brake hold pressure Ph at a given pressure reducing gradient.