A vibration absorption device comprising: a cylindrical bracket coupled with one of a vibration generating section or a vibration receiving section and having an inner surface formed in a linear shape in a cylinder axial direction; an external cylinder including: a small diameter section that is formed in a cylindrical shape, is press-fit into a cylinder of the bracket, and has a small diameter surface formed at an outer surface and configured at a press-fitting leading end with respect to the bracket; a large diameter section that, before the press-fitting, has an outer diameter that is larger than an inner diameter of the bracket and an outer diameter of the small diameter section, and has a large diameter surface formed at an outer surface, and configured at a portion nearer to a press-fitting rear end side with respect to the bracket than the small diameter section; and an intermediate section that is configured between the small diameter section and the large diameter section and has a standing surface formed at an outer surface that joins the small diameter surface and the large diameter surface; an internal cylinder that is disposed at an inner peripheral side of the external cylinder and is coupled with the other one of the vibration generating section or the vibration receiving section; and an elastic body that is interposed between the inner peripheral surface of the external cylinder and an outer peripheral surface of the internal cylinder, and that joins the external cylinder and the internal cylinder to each other; CHARACTERISED IN THAT: the external cylinder is made of resin; the large diameter section has a thickness that is thicker than the small diameter section; and the outer diameter of the small diameter section of the external cylinder is equal to or larger than the inner diameter of the bracket before the small diameter section is press-fit into the bracket a cylindrical bracket coupled with one of a vibration generating section or a vibration receiving section and having an inner surface formed in a linear shape in a cylinder axial direction; an external cylinder including: a small diameter section that is formed in a cylindrical shape, is press-fit into a cylinder of the bracket, and has a small diameter surface formed at an outer surface and configured at a press-fitting leading end with respect to the bracket; a large diameter section that, before the press-fitting, has an outer diameter that is larger than an inner diameter of the bracket and an outer diameter of the small diameter section, and has a large diameter surface formed at an outer surface, and configured at a portion nearer to a press-fitting rear end side with respect to the bracket than the small diameter section; and an intermediate section that is configured between the small diameter section and the large diameter section and has a standing surface formed at an outer surface that joins the small diameter surface and the large diameter surface; an internal cylinder that is disposed at an inner peripheral side of the external cylinder and is coupled with the other one of the vibration generating section or the vibration receiving section; and an elastic body that is interposed between the inner peripheral surface of the external cylinder and an outer peripheral surface of the internal cylinder, and that joins the external cylinder and the internal cylinder to each other; the external cylinder is made of resin; the large diameter section has a thickness that is thicker than the small diameter section; and the outer diameter of the small diameter section of the external cylinder is equal to or larger than the inner diameter of the bracket before the small diameter section is press-fit into the bracket