Disclosed are a method and an apparatus for connecting electronic devices based on biometric information without a certification server. An electronic device includes a wireless communication unit configured to perform wireless communication with an external device; a biometric recognition module; a memory; and a processor connected to the wireless communication unit, the biometric recognition module, and the memory. The processor is configured to register, in the external device, authentication information for authenticating the external device through the electronic device, establish a communication connection with the external device through the wireless communication unit, receive a request for authenticating the electronic device from the external device in response to the communication connection, acquire biometric information corresponding to a user of the electronic device using the biometric recognition module in response to the authentication request, perform device authentication for the user based on at least the biometric information, encrypt authentication information when the authentication is successfully performed, and transmit the encrypted authentication information to the external device.