Based on the first-order perturbation method,the analytical expressio n of steady-state thermal blooming for the propagation of vortex beam in the at m osphere is derived,and the phase distortion expression of vortex beam caused by thermal blooming is obtained.Through numerical simulation of intensity distrib ution of vortex beam propagation in the atmosphere,the effects of propagation d istance,initial power,transverse wind speed,atmospheric absorption coefficien t and initial radius on thermal blooming of vortex beam are analyzed in detail. The results show that the thermal blooming effect can be enhanced by increasing the initial power,propagation distance and atmospheric absorption coefficient o f vortex beam without changing other parameters.On the contrary,increasing the initial radius and transverse wind speed can reduce the thermal blooming effect without changing other parameters.Moreover,In the presence of transverse wind s,due to the thermal blooming effect,the vortex beam always bends in the direc tion of wind,and the position of peak intensity shifts,forming an asymmetric d istribution.The phase distortion of vortex beam caused by thermal blooming alon g wind direction and vertical direction is different.The results have important guiding significance for the application of high power laser in atmospheric pro pagation and the development of high energy laser.