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In this paper, We proposed an efficient authentication and key agreement protocol based on elliptic curve cryptography (ECC). By which user to user, or user to network in the wireless communication system can authenticate one another and agree on a session key. We introduced ECC to the Diffie-Hellman key exchange protocol, and added new authentication scheme using a certificate in the protocol. The use of ECC techniques provide greater security using fewer bits, resulting the protocol which requires significantly less bandwidth, and furthermore, it has lower computational burden and storage requirements on the user side.