A method and an apparatus for driving a liquid crystal display, in which flicker and cross talk are removed for arbitrary display patterns. The liquid crystal display has 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. The polarity of data signals outputted to the data lines is inverted for each occurrence of a pixel to be placed into a predetermined state. The predetermined state may be a dark state or a bright state of a binary display, or one of several levels of a display having more than two gray scale levels.