A bicycle comprises a frame, a rear wheel and a rear suspension which comprises a swing arm carrying the wheel and two pivot links pivotably connected at respective pivot points with the frame and at respective pivot points with the arm so as to form, together with parts of the frame and arm, a four-bar linkage. The suspension further comprises a spring and damper unit pivotably connected with the frame at the pivot point of one link and with the arm at the pivot point of the other link so as to extend diagonally of the linkage and provide springing and damping of the suspension travel. The shared use of the link pivot points by the spring and damper unit serves to reduce construction and assembly costs as well as weight. One link is disposed forwardly of the other link with respect to the fore and aft direction of the bicycle so as to ensure lateral rigidity of the rear suspension.