Provided are a display device and a driving method for the display device. The driving method may include: dividing a frame of to-be-displayed image into m frames of display pictures; in any one of the m frames of display pictures, a difference between a drive voltage and a corresponding preset gray-scale voltage of at least one pixel unit among n pixel units on the display panel is different from a difference between a drive voltage and a corresponding preset gray-scale voltage for each of other ones of the n pixel units in positive and negative signs; for a pixel unit, a difference between at least one of m drive voltages in the m frames of display pictures and a preset gray-scale voltage of the pixel unit is different from a difference between each of other ones of them drive voltages and the preset gray-scale voltage of the pixel unit in positive and negative signs, and an average luminance value of the pixel unit in the m frames of display pictures equals the preset luminance; and arithmetic products of a backlight luminance and a sum of drive voltages of all pixel units on the display panel for the m frames of pictures are equal to each other.