Abstract: In the system of satellite-to-ground laser communication, the atmosphere disturb reduces the quality of communication. Correcting disturb at the sink of the communication can improve the quality of communication. Sometimes, the sensor can't estimate the wave-front, so it needs to use wave-front sensor-less to correct the disturb. In order to compensate the disturb real-time, we simulated three improved optimum algorithms to correct the disturb, and compared the differences among Genetic algorithm(GA), sealing annealing algorithm(SA) and model-based approach algorithm in the convergence speed, precision, stability and the number of adding voltage to the deformed mirror. The simulation shows that: GA convergences very slowly, but can improve normalized intensity form 0.079 5 up to 0.99, It can be used in correcting the static aberration, the model-based approach algorithm only need two iterations to improve normalized intensity form 0.079 5 up to 0.862, It's proper for correcting the atmosphere disturb real-time.