A display device and a method for driving the display device are described, where the display device includes a plurality of pixel island groups, a plurality of lenses, a positioning module, and a gate driving chip. The plurality of pixel island groups are arranged in array, wherein each of the pixel island groups includes a plurality of pixel islands, and different pixel islands are able to be scanned in different scanning modes. The positioning module is configured to determine a gaze area and a non-gaze area according to gazed coordinates of human eye. The gate driving chip is configured to provide gate driving signals in a first driving manner to sub-pixel units in the gaze area, and provide gate driving signals simultaneously in a second driving manner to sub-pixel units in the non-gaze area during a scanning stage of the sub-pixel units in the non-gaze area.