The orbital angular momentum carried by the vortex light enables the capacity of the communication system to effectively expand and meet the increasing communication needs of people. However, when the vortex light is transmitted at the atmosphere, the wavefront will be distorted due to the influence of atmospheric turbulence, resulting in an increase of the bit error rate at the receiving end. In order to ensure the reliability of communication, the correction for the distorted wavefront is needed. Adaptive optics technology with wavefront sensors can produce a phase of conjugation with distorted wavefront in counteracting the effects of atmospheric turbulence. The principle is to utilize the wavefront sensor for detecting the wavefront information and reconstructing the wavefront distortion, and finally correcting it by the wavefront corrector. The effect of wavefront distortion correction mainly depends on the accuracy of the reconstructed wavefront. The existing model method, area method and other methods have low accuracy of reconstructed wavefront. In the paper, a wavefront reconstruction based on wavelet fractal interpolation algorithm is proposed. Compared with the traditional MVE algorithm, the root mean square error of the reconstructed wavefront is reduced from 3.249 2 to 0.634 6, and the reconstructed wavefront error is greatly reduced. At the same time, the accuracy of reconstructed wavefront is also improved.