A touch screen display device includes: an image corrector for converting first image data for displaying on pixels to second image data for displaying on the pixels, and for generating a lookup table based on the conversion; and a processor for correcting second touch positions based on the second image data to first touch positions based on the first image data using the lookup table. A method of driving a touch screen display device includes converting first image data for displaying on pixels to second image data for displaying on the pixels, generating a lookup table based on the conversion, and correcting second touch positions based on the second image data to first touch positions based on the first image data by using the lookup table.