Considering the channel characteristics when the line-of-sight(LOS) link between satellite and mobile terminal with array antenna is obstructed,a three dimensional channel statistical model based on the geometrical cylinder model was put forward under the circumstance of heterogeneous direction of arrival(DOA) at mobile terminals,in which the azimuth and elevation angular distribution of DOA was described according to Laplace distribution and modified truncated cosine distribution in Parsons model.Expression equations of correlation functions of received signal were also given in the paper.Simulation model was built up with Sum-of-Sinusoidal(SOS) method,and the related parameters were determined by modified equal area method(MMEA).The models have been verified with Aulin model.