A vehicle equipped with an anti-lock brake system (ABS) and with anti-slip regulation (ASR) and having the capability of automatically controlling the distance from a vehicle driving in front whereby various vehicle deceleration devices are actuated automatically if the distance becomes shorter than a preset minimum safe distance. For deceleration of the vehicle if the distance from a vehicle driving in front becomes shorter than the preset minimum safe distance, the ASR function used for braking the drive axles of the vehicle is actuated.