A system for a hill descent control in the braking equipment of a motor vehicle comprising an electrically controllable service brake system, which is designed both for an anti-locking control function and for a braking function irrespective of actuation by the driver, a brake actuator which permits an individual adjustment of the braking pressures or braking moments generated for the individual wheels of a motor vehicle, which are the respective manipulated variables controlled by the hill descent control, an electronic control unit being provided for the electronic control and/or regulation which directly or indirectly detects variables related to operating conditions of the motor vehicle and adjusts additional braking moments when driving on steeply inclined roads, irrespective of whether a brake pedal is actuated.