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Wireless Body Area Network (WBAN) plays an important role in the modern telemedicine environment. In WBAN, intelligent and resource-limited sensors will collect patients' health data and communicate this information to doctors over the Internet to provide services. However, during the communication between WBAN entities, the privacy and security of data and user information should be protected to prevent various security threats. Aiming at these security defects, this paper proposes a privacy-preserving WBAN authentication scheme. To the best of our knowledge, this paper is the first to introduce group anonymous techniques into WBAN. Moreover, we use Random Oracle Model and BAN logic to verify the security properties of our scheme and discuss informal security analysis. Last but more importantly, compared with the best solution in the WBAN environment, our communication overhead is reduced by 19.8 % , and the computing overhead is is reduced by 17.4 % . [ABSTRACT FROM AUTHOR]