This paper presents a method of controlling gyro system based on bounded damping feedback. Firstly，using LaSalle invariable theorem，a stability analysis is given theoretically. Then by introducing a two order Butterworth lowpass filter，a feedback controller is proposed on the basis of measured signals. The chaotic gyro system can be stabilized to different periodic obits or fixed points in the numerical simulation. Furthermore，the effects of control parameter and noise are investigated. The results show that the implementation of this control method is simple and easy. In addition，the controller has strong robustness against weak external noise.