In order to overcome the influence of atmospheric turbulence and mechanical platform vibration in free space optical communication system, a nutation coupling scheme based on peak power feedback and fast mirror is proposed in this work, and the nutation experimental platform is built. A sine disturbance of a certain frequency and amplitude is introduced through a fast reflector to conduct a dynamic tracking experiment. The results show that the maximum coupling range of the system can reach 1.1 mrad when the coupling efficiency is not less than 55% in the tracking state. At the same time, the designed tracking algorithm can correct the large disturbance and reduce the mean square error of the received optical power of the detector from 9.91% in open-loop to 0.81% in closed-loop. The nutation coupling efficiency of the system under different signal-to-noise ratios is tested. The results show that the coupling efficiency decreases with the decrease of signal-to-noise ratio.