The invention relates to a compressed air supply system for motor vehicles comprising a compressed air supply part consisting of a compressor, an air drying part comprising an air dryer, a filter, a valve and a compressed air consumer part consisting of compressed air consumer circuits provided with operational brake circuits, which are supplied with compressed air via a multi-circuit safety valve. The operational brake circuits and optionally, at least one other compressed air consumer circuit comprises compressed air containers and the pressure in said compressed air consumer circuits is monitored by sensors, the electric signals of which are evaluated by an electronic control device. Said electronic control device (84) is configured in such a manner that in order to determine parameters of the compressed air supply system (2) and the size of the compressed air containers and the output of the compressor (7), when filling the compressed air consumer circuits (26, 28, 30, 32, 34, 36, 38), the compressed air increasing speed in a compressed air consumer circuit and the compressor speed and an air drying regeneration process is carried out after the compressed air consumer circuit is filled with compressed air from the container of said circuit. The time period of a predefined fall in pressure or the fall in pressure is determined over a predefined time period and the amount of air necessary for carrying out said regeneration process is deducted from the value of the fall in pressure, the regeneration time and the known diameter of the filter (108) and the volume of the container is determined therefrom. The output of the compressor (7) is determined from the volume of the container, the determined compressed air increasing speed and the compressor speed.