This invention relates to a method and apparatus for driving a liquid crystal display that is capable of improving the viewing angle by converting a gray scale having poor viewing angle characteristics into a gray scale combination having good viewing angle characteristics. A driving method of a liquid crystal display for wide viewing angle of the present invention, time-divides one frame into at least two sub-frames for driving the liquid crystal display such that an arbitrary main grayscale is expressed by the combination of the sub-grayscales expressed at each of at least two sub-frames. Accordingly, the grayscale with poor viewing angle characteristics is time-divided into at least two grayscales with good viewing angle characteristics and the liquid crystal display is driven, thereby improving the viewing angle.