By constructing a wave-front distortion phase with random phase screen, the distortion correction effect of deformable mirror has been simulated and analyzed with the method of high-pass filtering. The variations of the correction effect with low frequency and high frequency phase distortions have been quantitatively analyzed. The influence of the correction location of deformable mirror has been also discussed. It is found that for a deformable mirror of given size, the quality of the corrected beam degrades obviously in far field with the percent of high frequency phase distortion increasing. In addition, the correction effect varies obviously with the mirror location.