A damping apparatus which includes a first member joined to a first object; a second member joined to a second object; and a vibration absorbing member installed between the first and second members for absorbing vibration. At least one of the first and second members is provided with elastic hooks so that the elastic hooks can be elastically caught by respective edge portions provided at the corresponding object, and the member can be joined to the corresponding object. In this structure, since at least one of the first and second objects is simply joined to the damping apparatus by using the elastic hooks, the installation process of the damping apparatus can be performed in a very simple manner. In addition, since screwing members are unnecessary in the side using the elastic hooks, the number of parts can be reduced.