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This paper proposes a new three-factor authenticated key agreement scheme for SIP on elliptic curve cryptosystem (ECC). In the proposed scheme, we adopts three-factor (password, token, and biometrics) authentication technique to provide strong authentication. In order to provide secure and efficient key agreement between the user client and the SIP server, the proposed scheme adopts ECC to offer a level of security comparable to classical cryptosystems that use much larger key sizes. As a result, the proposed scheme resists wellknown security attacks, while also providing efficiency which can be executed faster than other previously proposed related schemes.