Arctic route geopolitical system can be defined abstractly as a network composed of states. The structure and the characteristics of the network have important signification on the geopolitical structure of arctic route. According to the evolvement and the evaluation of geopolitical theory and the meaning of arctic route geopolitical structure, the brief summarization of the development and properties and representative research achievements of complex networks, an analysis in complex network characteristics of arctic route geopolitical structure is made. Then, it is interpreted that the reasons accounting for some individuality of the network. The research is designed to provide the government with scientific research methods and theoretical support for the benefit contending of arctic route geopolitical in the future.