The control method of a display apparatus which is capable of receiving a source image played by a source device through a wireless communication unit and of displaying the received source image, the control method including: monitoring whether a wireless connection request signal transmitted by the source device is received; setting up a connection to the source device in accordance with the received wireless connection request signal; automatically converting an image input source into the wireless communication unit to display the source image played by the source device; and receiving and displaying the source image played by the source device.