Three-party authenticated key exchange protocol is an important cryptographic technique in the secure communication areas, by which any two clients can verify the ability to use a server to establish communication. Recently, researchers have begun proposing new key exchange protocols that would not require the use of server public keys, but a human-memorable password. In this paper, we propose a new three-party password authenticated key exchange protocol with key confirmation. The security of our proposed protocol relies on the hardness of the bilinear Diffie-Hellman problem and Diffie-Hellman problem in the random oracle model, and the proposed protocol achieves the security attributes: dictionary attack resilience, known session key security, perfect forward secrecy, no key compromise impersonation, no unknown key share and no key control.