We presented a simple and efficient password-based encrypted key exchange protocol that allows a user to establish secure session keys with remote servers from client terminals in low resource environments. He does not need to carry smart card storing his private information but just needs to know his identity and password. For this purpose, the scheme was implemented over elliptic curves because of their well-known advantages with regard to processing and size constraints. Furthermore, the scheme is provably secure under the assumptions that the hash function closely behaves like a random oracle and that the elliptic curve computational Diffie-Hellman problem is difficult. We presented a simple and efficient password-based encrypted key exchange protocol that allows a user to establish secure session keys with remote servers from client terminals in low resource environments. He does not need to carry smart card posse his private information but just needs to know his identity and password. For this purpose, the scheme was implemented over elliptic curves because of the well-known advantages with regard to processing and size constraints. oracle and that the elliptic curve computational Diffie-Hellman problem is difficult.