A damping stopper comprising: an elastic body formed into an annular shape, configured to be provided between two members which are configured to be axially displaced relative to each other, and, when an interval between the two members decreases in a state where the elastic body is provided between the two members, configured to be axially compressed by the two members and expand radially outward; and a metal attachment ring presenting an L-shaped cross section and bonded to one axial end and the inner peripheral surface of the elastic body, characterized by : a resistance member attached to an outer periphery of the elastic body in one axial region of the elastic body and suppressing expansion of the elastic body in the one region, wherein the elastic body is configured to, when the interval between the two members decreases in the state where the elastic body is provided between the two members, expand while receiving resistance by the resistance member to thereby contact a side wall provided in one member of the two members, and the resistance member is a ring body having rigidity such that the resistance member does not contact the side wall when the elastic body expanding radially outward contacts the side wall, the ring body being attached to a position where the elastic body is divided into a portion having a long axial length (L 1 ) and a portion having a short axial length (L 2 ). an elastic body formed into an annular shape, configured to be provided between two members which are configured to be axially displaced relative to each other, and, when an interval between the two members decreases in a state where the elastic body is provided between the two members, configured to be axially compressed by the two members and expand radially outward; and a metal attachment ring presenting an L-shaped cross section and bonded to one axial end and the inner peripheral surface of the elastic body, characterized by : a resistance member attached to an outer periphery of the elastic body in one axial region of the elastic body and suppressing expansion of the elastic body in the one region, wherein the elastic body is configured to, when the interval between the two members decreases in the state where the elastic body is provided between the two members, expand while receiving resistance by the resistance member to thereby contact a side wall provided in one member of the two members, and the resistance member is a ring body having rigidity such that the resistance member does not contact the side wall when the elastic body expanding radially outward contacts the side wall, the ring body being attached to a position where the elastic body is divided into a portion having a long axial length (L 1 ) and a portion having a short axial length (L 2 ). a resistance member attached to an outer periphery of the elastic body in one axial region of the elastic body and suppressing expansion of the elastic body in the one region, wherein the elastic body is configured to, when the interval between the two members decreases in the state where the elastic body is provided between the two members, expand while receiving resistance by the resistance member to thereby contact a side wall provided in one member of the two members, and the resistance member is a ring body having rigidity such that the resistance member does not contact the side wall when the elastic body expanding radially outward contacts the side wall, the ring body being attached to a position where the elastic body is divided into a portion having a long axial length (L 1 ) and a portion having a short axial length (L 2 ). <EOS>