A vibration damping device comprising: a first bracket that is connected to any one of a vibration generating portion and a vibration receiving portion, and a second bracket that is connected to the other thereof; a vibration damping device main body comprising: a first attachment member to be mounted to the first bracket; a second attachment member to be mounted to the second bracket; and an elastic body that connects the first attachment member and the second attachment member with each other, wherein the second attachment member includes an insertion tubular portion in which the second bracket is inserted, wherein the insertion tubular portion is provided with a stopper portion which faces a stopper wall provided in the first bracket, in a radial direction in a side wall portion oriented outward in the radial direction of the insertion tubular portion, characterized in that the stopper portion includes a first stopper portion and a second stopper portion which are disposed in a manner of being displaced in an axial direction of the insertion tubular portion, wherein the first stopper portion is constituted by a first elastic portion, wherein the second stopper portion includes a rigid member, and wherein a first distance between the first stopper portion and the stopper wall in the radial direction is equal to or shorter than a second distance between the second stopper portion and the stopper wall in the radial direction. a first bracket that is connected to any one of a vibration generating portion and a vibration receiving portion, and a second bracket that is connected to the other thereof; a vibration damping device main body comprising: a first attachment member to be mounted to the first bracket; a second attachment member to be mounted to the second bracket; and an elastic body that connects the first attachment member and the second attachment member with each other, wherein the second attachment member includes an insertion tubular portion in which the second bracket is inserted, wherein the insertion tubular portion is provided with a stopper portion which faces a stopper wall provided in the first bracket, in a radial direction in a side wall portion oriented outward in the radial direction of the insertion tubular portion, characterized in that the stopper portion includes a first stopper portion and a second stopper portion which are disposed in a manner of being displaced in an axial direction of the insertion tubular portion, wherein the first stopper portion is constituted by a first elastic portion, wherein the second stopper portion includes a rigid member, and wherein a first distance between the first stopper portion and the stopper wall in the radial direction is equal to or shorter than a second distance between the second stopper portion and the stopper wall in the radial direction. a first attachment member to be mounted to the first bracket; a second attachment member to be mounted to the second bracket; and an elastic body that connects the first attachment member and the second attachment member with each other, wherein the second attachment member includes an insertion tubular portion in which the second bracket is inserted, wherein the insertion tubular portion is provided with a stopper portion which faces a stopper wall provided in the first bracket, in a radial direction in a side wall portion oriented outward in the radial direction of the insertion tubular portion, characterized in that the stopper portion includes a first stopper portion and a second stopper portion which are disposed in a manner of being displaced in an axial direction of the insertion tubular portion, wherein the first stopper portion is constituted by a first elastic portion, wherein the second stopper portion includes a rigid member, and wherein a first distance between the first stopper portion and the stopper wall in the radial direction is equal to or shorter than a second distance between the second stopper portion and the stopper wall in the radial direction.