Based on the principle of mode field matching, we analyze the influence of tilt aberration on coupling efficiency, and then the laser nutation tracking method is simulated and analyzed according to theoretical analysis. The simulation results are verified by experiments based on fast steering mirror and PIN (Positive-Intrinsic-Negative) photodiode. The results show that the nutation radius is inversely proportional to the convergence rate, and the steady-state oscillation amplitude increases with the increasing radius, while the convergence rate decreases with the increase of the number of sampling points. In addition, the proposed algorithm can significantly suppress the dynamic disturbance in a certain range.