A tire inflation system comprising pneumatically controlled wheel valves that are situated in the wheels of a motor vehicle. An electrically actuated pilot valve that is fixed to the vehicle controls the respective wheel valves. To produce a small, low-cost, reliable tire inflation system, a first and a second compressor are provided. The first compressor supplies a first compressed air system with medium-pressure compressed air and the second compressor supplies a second compressed air system with high-pressure compressed air. The wheel valves are situated in the first compressed air system and the pilot valves are situated in the second compressed air system.