Disclosed herein is a display apparatus including a curved display module having a curved surface bent in a y-axis direction, a surface overlay disposed on the front surface of the curved display module and having a refractive index differing from an air layer, at least one IR emitter arranged on the upper long side or the lower long side of the surface overlay and emitting IR light, and at least one first IR receiver arranged on the long side opposite the at least one first IR emitter and receiving the IR light emitted by the at least one IR emitter. The curved display apparatus may more accurately and effectively recognize touch input and thus, user convenience may be improved.