A method of connecting electronic devices to realize a task connection between applications of the respective devices is provided. A first application is executed by a first electronic device. The first electronic device is connected to a second electronic device through a communication interface during execution of the first application. While the first and second devices are connected, the first device transmits a command including an ID of an application corresponding to the first application to the second electronic device. The second device executes a second application mapped to the ID in response to the command.