Abstract: In order to analyze influence of the turbulent aberrations on orbital angular momentum states of laser beam propagating in slant atmosphere-channel,effect of z-tilt aberration,astigmatism aberration and coma aberration on the detection probability of the orbital angular momentum states of laser beam was simulated and the impact regularity of the three aberrations as a function of index-of-refraction,propagation distance and zenith angle of communication channel on the detection probability of the orbital angular momentum states was obtained.The results show that with the increase of the zenith angle of communication channel,the atmospheric turbulence and the channel distance,the detection probability of the orbital angular momentum states of laser beams induced by z-tilt aberration decreases more.For turbulence coma aberration,only when the zenith angle of communication channel increases,the detection probability of the orbital angular momentum states of laser beams will decrease more.The effect of astigmatism aberration on the detection probability of the orbital angular momentum states of laser beam is independent of the change of these three factors and can be ignored.