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Based on the assumption of a pulse laser beam with an initial Gaussian temporal shape of the pulse and a Laguerre-Gaussian fundamental-model spatial distribution, the Rytov approximation and modified von Karman spectrum model of the index-of-refraction fluctuation of atmosphere, the effect of turbulence on the detection probability of single-photon propagation in atmospheric communication channel is studied theoretically. The detection probability models for single-photon propagation in uplink path , the horizontal path and downlink path are derived. The results show that the detection probabilities for photons in uplink/horizontal turbulent atmosphere channel are decreased as the Cn2 and propagation distance are increased. But, the detection probabilities of photons in downlink turbulent atmosphere channel are independent on the Cn2(0) and the propagation distance effect also is weak.