A rear wheel suspension system for a two-wheeled vehicle is provided. The suspension system includes a rear frame pivotally connected to a main frame by at least an upper linkage and a lower linkage. The linkages are positioned such that the pivotal connection between the rear frame and the lower linkage is forward of the pivotal connection between the main frame and the lower linkage. Further, the rear wheel suspension system includes a biasing member such as a spring or shock absorber which allows the suspension to absorb impacts resulting from obstacles or irregularities in the surface of a terrain.