An organic electro-luminescent display device according to an embodiment includes a light emitting device in a pixel to emit light in response to a current applied thereto; a data line for providing a data voltage in a write period and a ramp voltage in a display period; and a first switching device connected to the light emitting device, the first switching device being selectively turned on depending on a voltage difference between the ramp voltage and the data voltage so as to drive the light emitting device.