Shock-absorbing stopper for preventing an elastic body from contacting a mating component, to cause sliding wear in a structure having a hollow in an outer peripheral surface. The stopper has a cylindrical elastic body, to which a fixed-side metal fitting is connected and to which a movable-side metal fitting is connected and an annular hollow in the outer peripheral surface, in which the stopper is sectioned into three portions by the hollow of a small diameter portion formed by the hollow, a fixed-side large diameter portion located closer to the fixed side, and a movable-side large diameter portion located closer to the movable side. The outer diameter dimension of the movable-side large diameter portion is smaller than the outer diameter dimension of the fixed-side large diameter portion and the axial width of the movable-side large diameter portion is smaller than the axial width of the fixed-side large diameter portion.