Abstract: A motor vehicle suspension system with a jounce bumper comprising a rigid support having a rigid cylindrical wall, an outer bumper member having an open end and a substantially closed end, the outer bumper member defining a cylindrical passage bordered by an inner cylindrical wall at its open end, wherein the open end is mounted radially interior of the rigid cylindrical wall, and an inner bumper member of cylindrical shape and size to fit within he cylindrical passage, having a radially exterior surface radially interfering with a predetermined axial length of the inner cylindrical wall, wherein, during compression of the outer bumper member, the inner bumper member cooperates with the rigid cylindrical wall to trap the open end of the outer bumper member, wherein the spring rate of the outer bumper is passively increased by the inner bumper cooperating with the rigid cylindrical wall.