Abstract: The object of the invention is to provide an organic electroluminescent display device and driving method including an apparatus comprised of at least one organic-light-emitting diode (OLED), a rectification diode and a capacitor used as a memory device. A frame period of the display device is divided into sub-frames, which have address and light emission periods. Current mode data programming is used to address the display device in each sub-frame. In the light emission period, charge previously stored in selected capacitors during the address period, supplies the forward current for the OLEDs. A ramp waveform applied to the row electrode, during the light emission period, forces the capacitor to discharge through the OLED and controls the forward current level. The operation of the OLEDs are retained in their area of maximum performance.