Abstract: Springing and damping of a back wheel of a motorcycle. Hithereto known embodiments of springing of the back wheel have a springing and damping member situated in an open area; this causes its insufficient cooling as well as its exposure to dust and impurities. The springing and damping device of the invention is located in a part of the closed suction area of the engine between an entrance filter element and a discharge branch for connecting a carburetor to it. The entrance zone of the springing and damping member into the suction area, as well as its exit out of the suction area, are sealed with elastic boots. The springing and damping member may be covered with an aerodynamically shaped cover. One or two springing and damping members may be situated at a wall of the closed suction area.