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Wireless Body Area Networks (WBANs) refer to small sensor network that consists of sensor devices mounted on the sur-face of the body or implanted in the body, as such networks are employed to harvest phys-iological data of the human body or to act as an assistant regulator of several specific phys-iological indicators of the human body. The sensor devices transmit the harvested human physiological data to the local node via a pub-lic channel. Before transmitting data, the sen-sor 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 computa-tion and communication costs are compared with those of the relevant schemes. Relevant experimental results reveal that the proposed scheme exhibit more effective control over en-ergy consumption and promising.