An air-compressing apparatus has four compressors individually supplying compressed air to a tank having a pressure sensor. The pressure sensor is connected to control circuits of the compressors. The control circuits compute times needed for the tank pressure to reach minimum and maximum pressures, respectively, of the tank by using the detected tank pressure and also using a tank pressure change value. The computed time values correspond to the consumption of compressed air. Thus, the control circuits can control the number of compressors to be operated according to the consumption of compressed air.