To solve a problem that an intended vibration damping effect is unable to exhibit since abrasion rupture is caused when a flexible part formed of a rubber-like elastic body of a damper rubs by contacting with a coating body.

In this arranging structure of the damper and the coating body, and the damper, a sliding layer 12 is formed in an opposed part of the flexible part 8 of the damper 5 facing to a mechanical part 3 as the coating body as an abrasion restraining means of the flexible part 8 by sticking of fluororesin powder, and abrasion of the flexible part 8 is restrained by slidingly contacting the flexible part 8 with the mechanical part 3 by the sliding layer 12. An elastic protective film is formed in the flexible part 8, and a sheet material with at least the flexible part 8 side as a sliding surface is installed on a shaft body 6 projected in the mechanical part 3, and is formed as an abrasion preventive means. Thus, the abrasion rupture by contact rubbing of the flexible part is restrained so that durability is improved.