An apparatus for determining the alignment of the wheels of a motor vehicle, which comprises sensing devices adapted to detect the coordinates, with respect to a same reference system, of at least three base points which belong to the supporting surface that supports the motor vehicle for which wheel alignment is to be determined, to detect the coordinates of at least two chassis points identified in symmetrical positions of the chassis of the motor vehicle with respect to the longitudinal centerline plane of the motor vehicle, and to detect the coordinates, with respect to the reference system, of four wheel points, which belong to a preset wheel plane that is at least tangent with respect to the rim of the wheel whose alignment is to be determined.