Abstract: The present invention relates to a method for controlling the pressure supplied by a CPAP device. The method comprises repeated measurement of a respiratory air flow during operation of the device and determining at least one respiratory event from the measured time-dependent behavior of the respiratory flow, the respiratory event representing an indication that the pressure supplied by the CPAP device is too low. Furthermore, the method comprises a slow, quasi ramp-like lowering of the pressure supplied by the CPAP device as long as no respiratory event is detected. Furthermore, the invention relates to a CPAP device for carrying out such a method and to a storage medium with a corresponding program.