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Eye gaze control is playing an important role in AR system. However, the physiology mechanism of eye gaze control canpsilat be totally understood for the limitation of biomedicine presently. The research on evolving networks has been widely studied recently and the degree distributions of these networks are of a power-law form. To enhance the calibration accuracy and improve the judgment effects of gazing objects, in this paper, the property of eye gaze tracking network is studied according to those methods used in complex network. The eye gaze tracking network model inserted position information and achievement probability was established and the degree distribution was discussed. Simulation results show that the degree distribution of eye gaze tracking network is scale-free.