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Key agreement and identification protocols are much applicable among current protocols in cryptography. These protocols are used for a se-cure communication through an insecure channel in a network like Internet. Challenge-response identification protocol is an important identification method. In this paper, by making some slight changes in the public-key-based challenge-response identification protocol, we have introduced a new scheme in which the users in addition to authenticating each other can also agree on multiple keys. Then, this protocors security from both aspects regarding the identification and key agreement will be analyzed. At the end, we will prove our scheme has a high security and efficiency in comparison with some famous and similar protocols.