Regarding the system vibration as the research object, we study vibration characteristics of the system vibration under the damping action. The primary coverage is as follows: under the external condition of undamped condition, damping condition, free vibration, and harmonic excitation, etc., the fundamental vibration form possesses vibration characteristics. In the project practice, the damping factor’s role to the vibrating system, as well as parameter determination is the damping factor. Low frequency effects on the structure system along with the effective of controlling resonance. In the damping treatment, we have characteristics demand for the damping. Through thorough analysis to damping action, we will obtain the best project fitting.