The existing authenticated tripartitie key agreement protocols mostly employ bilinear pairings, with low computation efficiency, not suitable for wireless network. A new authenticated tripartite key agreement protocol is proposed in this thesis, employing exponentiation and hash function and displaying a higher computation efficiency. Security of the proposed protocol has been verified through a reliable means. Security analysis shows that the protocol can resist many familiar attacks including man-in-the-middle attacks, unknown key-share attacks and key-compromise impersonation attacks, and it is secure and effective.