To provide a method and an apparatus for driving a liquid crystal display, by which flickers and cross talk can be removed even for any display pattern on the liquid crystal display. The liquid crystal display having a plurality of scan lines, a plurality of data lines and a plurality of pixels arranged in a matrix at the intersections of the scan and the data lines; wherein the polarity of data signals outputted to the data lines can be inverted for each occurrence of a pixel to be placed into a predetermined state.