A method and apparatus for driving an active matrix display panel includes a plurality of scanning lines, a plurality of data lies intersecting the scanning lines, and a plurality of pixel electrodes that are coupled to the scanning lines and the data lines. The method includes activating the scanning lines sequentially, and adjusting common voltages applied to a plurality of common electrodes that are disposed opposite to the pixel electrodes in response to differences in voltage changes generated among the pixel electrodes when the scanning lines changes from an on state to an off state. Therefore a voltage difference between each of the pixel electrodes and a common electrode arranged opposite to the pixel electrode is equal to a target voltage.