A display apparatus, which adjusts a luminance value of an image, and a method for driving the same are disclosed. The display apparatus includes a first image conversion unit that converts first image data into a plurality of second image data each including a luminance value, a luminance analysis unit that determines quantities of luminance values of the second image data, and determines a distribution of the luminance values, and a luminance adjustment unit that adjusts the respective luminance values of the second image data based on the quantities.