A display device capable of obtaining a constant luminance without being influenced by temperature change is provided as well as a method of driving the display device. A current mirror circuit composed of a first transistor and a second transistor is provided in each pixel. The first transistor and second transistor of the current mirror circuit are connected such that their drain currents are kept almost equal irrespective of the level of load resistance. By controlling the OLED drive current using the current mirror circuit, a change in OLED drive current due to fluctuation in characteristics between transistors is avoided and a constant luminance is obtained without being influenced by temperature change.