The saddle-riding motor vehicle (1; 107; 207) comprises a rear driving wheel (5; 105; 205) and a front steered wheel (7; 107; 207). The front steered wheel (7; 107; 207X, 207Y) is connected to a rotatable arm (9; 109; 209X, 209Y) provided with a rotary motion about a steering axis (A-A). A wheel support (37; 137) is connected to the rotatable arm (9; 109; 209) with the interposition of a suspension (17; 117; 217X, 217Y) comprising a shock absorber (22; 122). The suspension (17; 117) comprises a Roberts four-bar linkage.

A body of a vehicle can include a front structure including a front wheel of the vehicle; a rear structure including a rear wheel of the vehicle; a rotation shaft connecting the front structure and the rear structure and allowing the front structure and the rear structure to rotate relative to each other; and an elastic system providing a return force in the opposite direction of the relative rotation in response that the front structure and the rear structure rotate relative to each other is disclosed.