Abstract: By constructing a turbulence phase screen with the method of power spectrum inversion and translating the phase screen, the temporal variations of turbulence caused by atmospheric wind speed were simulated. The propagation characteristics of laser beams in atmospheric turbulence including temporal evolution were simulated and analyzed, and the variations of phase characteristics of laser beams in atmospheric turbulence caused by atmospheric wind speed were quantitatively analyzed from the view of wavefront power spectral density. And the correction effect of deformable mirror for the distorted wavefront was simulated by using influence function. The adaptive correction effect for the distorted wavefront of laser beams propagating in atmospheric turbulence was estimated, and the influence of atmospheric wind speed on the correction effect was analyzed. The results show that, the influence of atmospheric wind speed on the phase characteristics of laser beams in boundary layer turbulence is very small, whereas for the laser beams in free layer turbulence, the higher the atmospheric wind speed, the severer the wavefront phase distortion and the larger the proportion of high frequency in distorted wavefront. The influence of atmospheric wind speed on the correction effect of annular beams is smaller than that on the correction of flat-topped beams, and the influence on the correction effect decreases gradually with increasing the beam order of annular beams. To a certain extent of distorted phase, the severer the phase distortion of annular beams, the weaker the influence of atmospheric wind speed on the correction effect.