Provided are a display device, which can improve display quality by correcting an original image signal whose frame frequency is a first frequency or a second frequency different from the first frequency, and a method3 of driving the display device. The display device includes an image signal processor which corrects an original image signal whose frame frequency is a first frequency or a second frequency different from the first frequency and outputs a corrected image signal, a first lookup table which stores image correction data corresponding to an (n−1)-th frame and an n-th frame that corresponds to the original image signal having the first frequency, and a display panel which displays an image corresponding to the corrected image signal. A second lookup table, which corresponds to the original image signal having the second frequency, is generated from the first lookup table, and the first or second lookup table is selected based on the frame frequency of the original image signal to output the corrected image signal.