Abstract: A brake system with slip control is disclosed including a master cylinder to which wheel brakes are connected through controllable main valves. An auxiliary-pressure supply system including a hydraulic pump, a regulating and pressure-monitoring valve and a pressure-compensating and pressure-fluid supply reservoir is connected to the wheel brakes through electromagnetically actuatable inlet and outlet valves. The outlet valves are normally closed in their inactive condition with each one pair of wheel brakes communicating directly with one inlet valve and one outlet valve. Wheel sensors and an electronic circuitry determine the wheel rotational behavior and generate electric braking-pressure control signals for operating the inlet and outlet valves. The inlet valves are closed in their inactive condition and are switched to open upon actuation and have their inlet side directly connected with the auxiliary-pressure supply system and their outlet side directly connected with the main valves.