Method for wireless connection in augmented reality environment and electronic device therefor

There is disclosed an augmented reality (AR) glasses device including: a camera, a transparent display, a communication circuit, a memory storing images of a plurality of external electronic devices, and a processor. The processor may be configured to control the AR glasses device to: acquire an image including an image of at least one external electronic device, acquire running application information of the at least one external electronic device, identify a first external electronic device corresponding to a gaze from among the at least one external electronic device from the acquired image, determine whether a specified application is running in the first external electronic device based on the running application information, and connect to the first external electronic device using a communication circuit, based on the specified application running.