Abstract: In order to study propagation characteristics of elegant Laguerre-Gaussian beam(ELGB) passing through a circular aperture in turbulent atmosphere, corresponding analytical formulate based on the extend Huygens-Fresnel integral were deduced and numerical simulation results were obtained. The results indicate that when the value of the truncation parameter 1, the beam profile of ELGB after propagating long distance is similar to that of the source, i.e., hallow beam, but the central normalized intensity is larger than 0; however, the profile tends to Gaussian distribution as the parameter 1. Meanwhile, the weaker the turbulent atmosphere is, the more easily it can preserve the average intensity profile as the source. And the average intensity profiles of different beam orders were also studied. The results are useful to laser beam propagation and free-space laser communication.