Organic EL display device and method of driving the device

An organic EL display device is disclosed that prevents charging and discharging that do not contribute to light emission, thereby reducing power consumption. The organic EL display device comprises a plurality of first electrode elements, a plurality of second electrode elements crossing the first electrode elements, and organic light emitting layers sandwiched by the first electrode elements and the second electrode elements. A first driving unit passes light emitting current through the first electrode elements. A second driving unit connects the second electrode elements to the ground to pass the light emitting current and to a second power supply not to pass the light emitting current. The voltage of the second power supply is varied in synchronism with the voltage waveform of output of the light emitting current from the first driving unit.