A display apparatus which is controlled by a remote control apparatus is provided. The display apparatus includes a wireless fidelity (Wi-Fi) module which is connected to an access point (AP) and operates in a Wi-Fi station mode and a controller which controls the Wi-Fi module to interrupt the connection to the AP when a Wi-Fi peer-to-peer (P2P) function is executed and iterates an operation of resuming the connection to the AP after a search operation is performed through each channel while a plurality of channels are sequentially selected. when an external device which performs P2P communication is found in the search operation, the controller controls the Wi-Fi module to perform a listen operation of receiving a signal transmitted from the external device and transmitting a response.