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Chaotic map has been used in the design of key agreement protocol due to its excellent properties.In most of password three-party authenticated key agreement protocol based on chaotic map,the server needs to store a sensitive password table.It makes these protocols vulnerable to some password related attacks.Besides,it would be dangerous if the password table was leaked.To resolve the aforementioned problems,a new password three-party authenticated key agreement protocol based on chaotic maps was proposed.The server didn't need to maintain a password table,so the proposed scheme was free from password related attack.Compared with other related proto-cols,the proposed protocol not only enhances the security,but also improves the efficiency greatly.