Abstract: A motor vehicle brake system is provided having a defining unit for determining the driver's desire to brake, an observation unit for determining the desired vehicle handling and the actual vehicle handling, and a central controller which, as a function of output signals of the defining unit and of the observation unit, determines desired wheel quantities for wheel-selective controlling of the individual brake actuators of the vehicle wheels. The desired wheel quantities are the desired wheel force and the desired wheel slip. A force-slip controller mounted at the vehicle wheel is connected upstream of each brake actuator and receives as input signals at least the desired wheel force from the central controller, the desired wheel slip from the central controller, the wheel reference speed from the central controller, the measured actual wheel force, and the measured actual wheel slip or the measured actual wheel rotational speed, for calculating the actual wheel slip.