A hydraulic twin-circuit brake system for a road vehicle with front axle/rear axle brake circuit division, is equipped both with an anti-lock brake system (ABS) and an acceleration skid regulation device (ASR) which operates on the principle of slowing down a driven vehicle wheel tending to spin by activating its wheel brake. A brake pressure control device analogous to the acceleration skid regulation device is also provided for the brake circuit of the non-driven front wheels of the vehicle. This brake pressure control device, together with the acceleration skid regulation device for the driven rear wheels of the vehicle, is activated in the sense of an automatic brake pressure control when the driver actuates the brake pedal at a rate which is larger than a specified threshold value .phi..sub.s. The brake pressure is then automatically controlled such that optimum vehicle deceleration occurs. Buffer reservoirs which are connected to the outlet pressure spaces of the brake unit, instead of to the wheel brakes, during automatic braking achieve a pedal displacement simulation by way of which an electronic control unit recognizes the vehicle deceleration which the driver wishes to select by the brake pedal actuation.