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Authentication is the most essential procedure to ensure that the service is properly used for wireless environments. Recently, Zhu and Ma proposed a novel authentication scheme with anonymity for wireless environments by basing on the hash functions and smart card, and mobile users only do symmetric encryption and decryption. And they claimed that their new scheme is security and provide user anonymity and so on. However, in this paper, we show that Zhu-Ma's new authentication scheme don't satisfy anonymity and untractability. Moreover, we still show that the authentication scheme is insecure when the mobile nodes' smart card leaked relative information. Accordingly, we present an improvement anonymous authentication scheme for wireless environments and the performance of our scheme is also analyzed.