Brake-force control system (ABS) for vehicles, in particular motor vehicles, with separate control of the front wheel brakes and with joint or separate rear wheel brakes which can be switched over to "select high" control or individual control and/or with a limited-slip differential at the rear axle, the switchover of the rear wheel brakes and/or of the limited-slip differential being effected at different coefficients of friction (.mu.-split) with a specifiable rate of rise dependent on the travelling speed, and in which, in order to increase directional stability during a braking procedure, a switching device is provided which blocks a switchover of the rear wheel brakes and/or of the limited-slip differential until the travelling speed from the time of the detection of different coefficients of friction has decreased to a specified value, the rate of rise of the switchover being dependent at least one the duration of the reduction of the vehicle speed to the specified value.