In order to enhance the ability of disturbance rejection for the telescope, and improve the tracking accuracy of the telescope mount control system, this paper analysis the dynamic of mount control system for the two meters telescope. Firstly, the frequency response of telescope mount control system is test using swept sine. Secondly, the Observer/Klaman filter algorithm is employed to identify the model for the mount control system. Finally, the position controller and speed controller are designed based on the mount control model. The experimental results of target observation show that max tracking errors of the azimuth and elevation axis are less than 4.5", and the tracking error RMS are 0.378 6" and 0.151 6", when the target moving with the max speed 3.5 (°)/s and the max acceleration 1 (°)/s2. The experiments verify the good dynamic of telescope mount control system.