Machine intended to hold the wheels of vehicles. It enables mounting and holding the wheels on vehicles that travel on the conveyor of the assembly line in a completely automated manner, without the intervention of human operators. It has a wheel supply bed (1) equipped with a positioning element (23) that centers the wheel and lifts it to be taken by a supporting arm (2) that moves it to a rotating plate (3) associated to a screw feeding device (4) that inserts them on the rim aided by an optical detector. The supporting arm (6) of a mobile bed (5) contiguous to the first element bears a multiple screw driver (7) that positions itself on the screws and tilts the whole set 90° to present the wheel in front of the vehicle's hub to be able to finally insert the wheel.