Stochastic parallel gradient descent(SPGD) is a developing model-free optimum control algorithm in recent years, which is used for adaptive optics system for its advantages of inexpensive cost, beacon-free and so on. Laser propagation through atmosphere is simulated by the method of phase-screens, 61-elements deformable mirror is used as corrector, and the aberration caused by turbulence effects is corrected by SPGD algorithm. The numerical simulation results show that SPGD algorithm can be used in the adaptive optics system to correct the aberration caused by turbulence effects, the different perturbation amplitudes and gain coefficients are very important for the last corrected results, and the numerical simulation results on different propagation conditions are also shown.