A liquid crystal display device capable of consuming less power and a method for driving the liquid crystal display device are provided. The liquid crystal display device includes a pixel portion, a light supply portion sequentially supplying lights of a plurality of hues to the pixel portion, a counter counting the number of frame periods, a signal generator determining timing of inverting the polarity of an image signal every plural consecutive frame periods by using data on the number of frame periods counted by the counter, and a controller inverting the polarity of the image signal in accordance with the timing. A plurality of pixels are provided in the pixel portion. The image signal whose polarity is inverted every plural frame periods is input to the plurality of pixels.