A bicycle rear suspension system is connected between front and rear triangles. The suspension system includes an eccentric bearing unit disposed within one of the front and rear triangles, a connecting member connected pivotally to the other one of the front and rear triangles, and a pivot. The eccentric bearing unit includes an outer bearing, and an inner bearing movable within the outer bearing along an annular path. The pivot extends through the inner bearing of the eccentric bearing unit and into the connecting member such that, application of a force to the rear triangle results in pivoting movement of the rear triangle relative to the front triangle, and movement of the inner bearing along the annular path.