Abstract: A slip-controlled brake system for automotive vehicles with a driven axle and a non-driven one has a braking pressure generator (10) connected to an auxiliary pressure source (9), to the braking pressure generator (10) the wheel brakes of a front wheel (VR, VL) and of a rear wheel (HR, HL) are connected by way of two separate pressure medium circuits. The braking pressure in the two circuits (I, II) at first is jointly controlled by means of an inlet valve and an outlet valve each (5, 13 and 7, 14 respectively). However, a far-reaching decoupling of the pressure variation in the two wheel brakes connected to one circuit (I or II, respectively) is achieved by means of additional 2/2-way valves (6, 15) in the pressure medium line towards the wheel brakes of the non-driven wheels (HR, HL).