Rear suspension system for a bicycle in which there are two links pivotally interconnecting the front triangle (being, the bicycle component having the seat and bottom bracket) and the rear triangle (being, the component to which the rear wheel is mounted), and the link pivots on the front triangle are located no higher than the location of the instant centre of the rear triangle at the sag point. Suspension stability may be enhanced by having one of the links oriented horizontally at the sag point and/or by having the link pivots on the front triangle in horizontal alignment.