Adaptive optics (AO) technology is an effective way to alleviate the effect of turbulence on free space optical communication (FSO). A new adaptive compensation method can be used to optimize the communication performance without a wave-front sensor. The application process of the wavefront sensorless adaptive optics on FSO is simulated using the application of differential evolution (DE) algorithm, stochastic parallel gradient descent (SPGD) algorithm and simulated annealing (SA) algorithm. Meanwhile, the wavefront correction capabilities are analyzed by comparison of the coupling efficiency, the error rate and the intensity fluctuation under different turbulence intensities before and after the correction in FSO system. The simulation results show that the three algorithms can effectively improve the communication performance of FSO systems, especially the DE algorithm with lower iteration rate but optimal effects. Therefore, DE is suitable for strong turbulence conditions.