A liquid crystal display device is disclosed, which has improved transmittance, and which meanwhile can obtain a higher contrast and maintain a lower cost. The device comprises a color filter substrate, an array substrate, and a liquid crystal layer sealed between the color filter substrate and the array substrate. The array substrate comprises a first pixel electrode and a second pixel electrode, the first pixel electrode and the second pixel electrode being arranged at an interval, and applied with AC voltages of equal frequency but opposite phase, respectively. Also, a method for driving the liquid crystal display device is disclosed.