A vibration absorbing apparatus is provided which includes a vibration absorbing mechanism equipped with a spring mechanism and an elastic member. The elastic member is made of a non-metallic material and of a cylindrical shape. The elastic member is arranged coaxially with the spring mechanism and has a spring constant in a radial direction thereof which is lower than that in an axial direction thereof. The spring mechanism works to absorb vibration applied thereto in the axial direction thereof. The elastic member works to absorb vibration applied thereto in the radial direction thereof.