A liquid crystal display (LCD) device and a method for driving LCD. Such a device may have a plurality of LCD pixels in a matrix, a driver that inputs a drive signal to each pixel selectively and a controller that controls a level and a polarity of the drive signal, and a memory storing corrected charge voltage values. Each pixel is provided with the drive signal based on the corrected charge voltage values for the corresponding pixel during the entirety of a horizontal period, and the corrected charge voltage value has a predetermined value corresponding to a charge for an intended gray scale level of the pixel at the end of the horizontal period without an over shooting of the driving voltage. When the target gray scale of the pixels is at the brightest level, a predetermined negative corrected charge is applied to the pixel to avoid an after image.