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In an open and distributed environment, authenticated key agreement protocol, as an important cryptographic primitive, is used to authenticate entities and establish session key in order to provide secure communications. Certificateless public key cryptography (CL-PKC) combines the advantage of the identity-based public key cryptography (ID-PKC) and the traditional PKI. In this paper, we propose a new protocol based on CL-PKC. The new proposed protocol achieves most of the required security attributes. Security analysis shows that it achieves the attributes of forward secrecy, known-key secrecy, no-key control, key compromise impersonation and key replicating.