An organic electroluminescent display device and the driving method thereof that can improve the aperture ratio. The organic electroluminescent display device according to the present invention includes first to third organic electroluminescent elements, first to third driving transistors to apply a driving current to the first to third organic electroluminescent elements, respectively, and first and second switches and a third switch group. A first light emission control line transfers a first light emission control signal, and a second light emission control line transfers a second light emission control signal. The first switch is turned on/off in response to the first light emission control signal, and the second switch and the third switch group are turned on/off in response to the first and second light emission control signals.