Abstract-Spiral space phase distribution of the vortex wave form specific orbital angular momentum. This paper studies the effect of atmospheric turbulence on the vortex wave phase through the numerical simulation. In order to analyze the influence of atmospheric turbulence on the vortex wave, we make comparison between various effects by different atmosphere structure constants, transmission distances and topological charges. When the refractive index structure constant is 8×10 -15 m -2/3 , the spiral phase change is about 37.5% ; When the refractive index structure constant increases up to a value of 8×10 -13 m -2/3 accordingly, spiral phase increases to 50%; when transmission distance reaches up to 1000 m, phase change increases to 62.5%. At the same time, in different azimuth space, spiral phase change effect is also different. The research results show that the strength of the atmospheric turbulence, space orientation, and wave transmission distance will make the OAM phase distribution of the vortex wave changes, therefore, they are the important factors of affecting the characteristics of the vortex waves OAM.