In a drive slip control system, when a wheel tends to spin, this wheel is braked. The brakes are applied to a second wheel only when the brake pressure at the first wheel has reached a certain minimum threshold or when the braking at the first wheel is over. There is a switch operated by the driver through which the slip controller is disconnected by the retention of a locking differential effect. If both wheels tend to spin, then both wheels are braked. The drive slip control takes place on the side of the car where the wheel speed is greater if at the same time, no tendency to spin is detected and no braking has occurred.