A shock-absorbing stopper comprising: a cylindrical elastic body, to a fixed-side end portion of which a fixed-side metal fitting is connected and to a movable-side end portion of which a movable-side metal fitting is connected and which has an annular hollow in an outer peripheral surface of the cylindrical elastic body, wherein the shock-absorbing 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 a fixed side relative to the hollow, and a movable-side large diameter portion located closer to a movable side relative to the hollow, an outer diameter dimension (Φd 2) of the movable-side large diameter portion is set smaller than an outer diameter dimension (Φd 1) of the fixed-side large diameter portion, and an axial width (w 2) of the movable-side large diameter portion is set smaller than an axial width (w 1) of the fixed-side large diameter portion, wherein the outer peripheral surface of the small diameter portion, the fixed-side large diameter portion and the movable-side large diameter portion at the elastic body is configured to be radially outward swollen and deformed when the elastic body is compressed by a load applied to the movable-side metal fitting, whereby the movable-side end portion is displaced in a direction approaching the fixed-side end portion, an outer diameter dimension of the small diameter portion is set smaller than the outer diameter dimension (Φd 1) of the fixed-side large diameter portion and the outer diameter dimension (Φd 2) of the movable-side large diameter portion, the axial width (w 2) of the movable-side large diameter portion is set only by an axial width (w 3) of the movable-side metal fitting, and an axial width (w 4) between the hollow in the elastic body and the movable-side metal fitting is set to zero. a cylindrical elastic body, to a fixed-side end portion of which a fixed-side metal fitting is connected and to a movable-side end portion of which a movable-side metal fitting is connected and which has an annular hollow in an outer peripheral surface of the cylindrical elastic body, wherein the shock-absorbing 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 a fixed side relative to the hollow, and a movable-side large diameter portion located closer to a movable side relative to the hollow, an outer diameter dimension (Φd 2) of the movable-side large diameter portion is set smaller than an outer diameter dimension (Φd 1) of the fixed-side large diameter portion, and an axial width (w 2) of the movable-side large diameter portion is set smaller than an axial width (w 1) of the fixed-side large diameter portion, wherein the outer peripheral surface of the small diameter portion, the fixed-side large diameter portion and the movable-side large diameter portion at the elastic body is configured to be radially outward swollen and deformed when the elastic body is compressed by a load applied to the movable-side metal fitting, whereby the movable-side end portion is displaced in a direction approaching the fixed-side end portion, an outer diameter dimension of the small diameter portion is set smaller than the outer diameter dimension (Φd 1) of the fixed-side large diameter portion and the outer diameter dimension (Φd 2) of the movable-side large diameter portion, the axial width (w 2) of the movable-side large diameter portion is set only by an axial width (w 3) of the movable-side metal fitting, and an axial width (w 4) between the hollow in the elastic body and the movable-side metal fitting is set to zero.