In order to study the effect of the atmospheric turbulence on the annular laser beams,propagation of annular beams through atmospheric turbulence is simulated using multiple phase screen method.The wandering root mean square (RMS) of beam centroid and mean power density on the far-field target are computed quantitatively for different atmospheric turbulence strengths and propagation distances.With expressions for characteristic distance in the propagation path of annular beam described,influence of atmospheric turbulence on average intensity in far-field is also analyzed.Numerical simulation results show that the beam wander centroid displacement of annular beams increased as turbulent effects increased,and the far-field beam quality was degraded with the increase of obstruction ratio.The atmospheric turbulence can largely reduce the far-field beam quality when obstruction ratio was smaller than 0.5.This method of numerical simulation could be used for analyzing and evaluating the propagation effects in the field of laser engineering such as high energy laser.