An electronic device having network connection function includes a receiving unit and a control unit, where the electronic device and an access point support a plurality of connection modes. The receiving unit is utilized for receiving a signal from the access point. The control unit is utilized for selecting a specific connection mode from the plurality of connection modes according to a determination result generated by determining whether the signal satisfies a predetermined condition, and starting to connect to the access point by using the specific connection mode, where a data rate of the specific connection mode is not a highest data rate among that of the plurality of connection modes.