A liquid crystal display device includes a plurality of common electrodes arranged so as to counter pixel electrodes extending in the row direction on a substrate. First and second voltage supply lines to supply first and second voltages to the common electrodes are connected with the common electrodes through a first switch circuit. A second switch circuit is arranged between the first voltage supply line and signal lines to switch a connection between the first voltage supply line and the signal lines. A gate open circuit is connected to scan lines to simultaneously supply a signal to switch on the pixel electrodes to all the scan lines. In case the power supply of the liquid crystal display device is turned off, a control circuit starts the power OFF driving operation to set the potential of the pixel electrode and the common electrode to substantially same by switching the first and second switch circuits.