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Group key agreement protocol allows all the members to agree upon a common session key, which may be used for later secure communication among all the participants. Since TGDH (tree based Diffie-Hellman) has been proposed by Yongdae Kim, Adrian Perrig, and Gene Tsudik, there are several group key agreement protocols proposed to improve the performance of TGDH. In this paper, we propose a novel authenticated group key agreement protocol based on elliptic curve Diffie-Hellman (AECTGDH), and analyze the performance of our protocol. Through using MQV ECDH to compute the key of a node who has at least one child node, AECTGDH provides implicit key authentication, which TGDH cannot provide. Through substituting ellipse curve DH for DH, AECTGDH are more efficient both in term of computation and communication.