A touch sensitive display device and a method for driving the same capable of increasing the touch recognition rate of the touch sensitive display device in the sleep mode are disclosed. The touch sensitive display device supports a normal mode and a sleep mode. The display device includes touch driving lines and a touch driver to supply one or more touch driving signals to the touch driving lines. The touch driver supplies the one or more touch driving signals at a first frequency during the normal mode of the touch sensitive display device, supplies the one or more touch driving signals at a second frequency during a first portion of the sleep mode of the touch sensitive display device, and supplies the one or more touch driving signals at a third frequency during a second portion of the sleep mode of the touch sensitive display device.