An air compressing assembly includes an air tank disposed in a receptacle, an air blowing device disposed in the receptacle and coupled to the air tank for generating and supplying a pressurized air of a relatively lower air pressure and greater flowing quantity to the air tank, an air compressing device disposed in the receptacle for generating and supplying another pressurized air of a relatively greater air pressure and a relatively decreased flowing quantity to the air tank, and a control device coupled to the air compressing devices for controlling the air compressing devices to generate and supply different pressurized airs of different pressures and different flowing quantities to inflate different air facilities.