A two-wheeled vehicle, in particular a bicycle, with a rear suspension that includes a front chassis supporting a bottom bracket wheel, and a rear oscillating assembly supporting a rear drive wheel. The rear oscillating assembly is attached to the front chassis by a shock-absorber system, a top pivoting link with two pivot points at top and bottom, and a bottom pivoting link with two pivot points at rear and front. The top and bottom pivot points connect the top pivoting link to the front chassis and to the rear oscillating assembly respectively. The rear and front pivot points connect the bottom pivoting link to the front chassis and to the rear oscillating assembly respectively. Thus, during the compression of the shock-absorber system, the top pivoting link oscillates in relation to the chassis, and about an axis that is perpendicular to the chain line.