A tilting motor cycle with at least three wheels including: a frame, at least one front wheel, a rear end comprising an engine group and a couple of rear wheels, where the rear end is hinged to the frame in order to allow a rolling of the frame around a rolling axis and a pitching of the rear end around a pitching axis, where the rear end is further connected to the frame by means of a suspension system including: a couple of uprights connected at the bottom by means of two first hinges to the engine group, at least one first crosspiece hinged at the distal ends thereof to the uprights, the center of the first crosspiece being connected to the frame directly or indirectly by means of a transmission element, the uprights or the transmission element including a suspension to dampen the rear end with respect to the frame.