The invention discloses a passive quasi-zero-stiffness suspension which comprises a surface bearing, spiral springs, a disc spring set and a movable disc spring outer guide sleeve. An upper disc spring limiting block is arranged below the surface bearing to locate one end of the disc spring set, and transmission force is borne. The disc spring set is fixed between the upper disc spring limiting block and the movable disc spring outer guide sleeve, the movable disc spring outer guide sleeve locates the upper ends of the spiral springs, serves as a guide sleeve of the disc spring set and guidesand limits the compression expansion direction of the disc spring set. On the basis of a common passive suspension, a damping mechanism with the disc spring set as the core is connected with the common passive suspension in series, the dynamic stiffness of the suspension is reduced, and on the basis that the overall layout of the original passive suspension is kept unchanged, handling stability and the riding comfort level are improved at the same time.