An electric parking brake, in particular for a commercial vehicle, has at least two compressed-air outputs, an electrically controllable valve arrangement for controlling a distribution of compressed air to the compressed-air outputs and including a bistable valve, and a compressed-air input which can be connected to a compressed-air supply for supplying compressed air from a compressor and/or from a compressed-air reservoir to the valve arrangement and to the compressed-air outputs. The electronic parking brake has as small a number of switchable valves as possible and reliably supplies compressed air to the compressed-air outputs. The bistable valve is supplied with compressed air at the input end by the compressed-air supply at least during a de-energized state of the valve arrangement. The compressed air is at a pressure which is made available by the compressor and/or the compressed-air reservoir.