A light emitting diode (LED) display apparatus, including: a plurality of LED lines including a plurality of LEDs; a plurality of switches connected to respective LED lines among the plurality of LED lines; a controller configured to sequentially supply power to the plurality of LED lines by sequentially turning on and off the plurality of switches; and an LED driver configured to detect an error state of an LED from the plurality of LEDs by estimating current flowing through the plurality of LED lines, and to provide the controller with a result of the detection.