The present disclosure relates to a display device and a method for driving the same which can improve color unevenness in a low-grayscale (low-luminance) area and improve color accuracy and grayscale expression, and an image processor of a display device according to an embodiment identifies a low-grayscale area less than a threshold value according to an input maximum luminance and applies a grayscale reproduction mask thereto to reproduce a luminance of the low-grayscale area as a combination of the threshold value and a minimum value.