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An ad hoc network is a collection of autonomous nodes that communicate with each other by forming a multi-top wireless network. Different from conventional wireless networks, the resource of the nodes in ad hoc networks is limited. As such, the costs of the nodes resource should be minimized when constructing a group key agreement protocol in the ad hoc networks. To achieve the goal, in this paper we propose an efficient group key agreement protocol based on a circular hierarchical group model, referred as CH-ECC. In this protocol, the elliptic curve cryptosystem is employed by circular hierarchical group model to establish group key. So that it can not only meet security demands of ad hoc networks but also improve executing performance.