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Wireless Body Area Networks (WBANs) refer to small sensor network that consists of sensor devices mounted on the surface of the body or implanted in the body, as such networks are employed to harvest physiological data of the human body or to act as an assistant regulator of several specific physiological indicators of the human body. The sensor devices transmit the harvested human physiological data to the local node via a public channel. Before transmitting data, the sensor device and the local node should perform mutual authentication and key agreement. It is proposed in this paper a secure mutual authentication scheme of blockchain-based in WBANs. To analyze the security of this scheme, formal security analysis, and informal security analysis are used, then the computation and communication costs are compared with those of the relevant schemes. Relevant experimental results reveal that the proposed scheme exhibit more effective control over energy consumption and promising.