To reduce the servo lag error in adaptive optics system which corrects the atmosphere turbulence distortion, a prediction control algorithm to predict the control voltage of deformable mirror is proposed. The prediction control method with recursive least-square (RLS) algorithm is used to predict the voltage of deformable mirror in advance. Numerical simulation, based on the atmospheric turbulence distorted wave-front slope data changing with different transversal wind is studied. The residual error of the adaptive optics system is calculated and compared with the prediction control algorithm and proportional integral (PI) control algorithm. The results show that the residual error caused by servo lag in the system is reduced more effectively by using the prediction control algorithm than by using the PI control algorithm.