The method of driving a liquid crystal display in accordance with one embodiment of the present invention is a method of driving a liquid crystal display whereby a first liquid crystal panels produces a display from a first display signal and the second liquid crystal panel produces a display a second display signal derived from the first display signal, the first and second liquid crystal panels being stacked on top of each other. The luminance of the first liquid crystal panel is extended based on the luminance extension ratio obtained from the gray levels for dots contained in the first display signal and a logical maximum gray level of input image data. The luminance of the second liquid crystal panel which produces a display from the second display signal is lowered by the amount by which luminance is extended on the first liquid crystal panel. A liquid crystal display with high display quality is realized by restraining decrease in saturation which would otherwise become obtrusive when two liquid crystal panels are stacked.