The invention relates to a method of controlling a compressor which is driven by the engine of a vehicle and which supplies at least one compressed air tank. The compressor is activated or de-activated according to a comparison which is made between the value of the pressure in the tank(s) and the pre-determined conjunction and disjunction pressure thresholds, depending on the sign of the engine torque. If the range of torque is positive there are multiple conjunction and disjunction pressure thresholds which are determined according to the vehicle speed estimation or measurement.