A display device using infrared sensor modules that is capable of reducing power consumption and extending durability of infrared light sources and sensors and a method of driving the same are disclosed. The display device includes a display panel to display images, a plurality of infrared sensor modules to optically detect a touched position on the display panel, an infrared sensor module controller to sequentially drive the infrared sensor modules and to switch the infrared sensor modules to a low-power mode when a touch operation has not been performed within a predetermined period of time or when the display panel is in a power-saving mode, and a system to provide a state of the display panel to the infrared sensor module controller.