A display device and a method of driving the display device are discussed. The display device includes a display panel which has subpixels disposed at points where data lines intersect gate lines. A data driver supplies a data voltage corresponding to specific input data to the data lines. An analog-to-digital converter (ADC) senses the data voltage supplied to at least one data line of the data lines, and converts the sensed data voltage to digital sensed data. A timing controller supplies compensation data compensated based on the digital sensed data to the data driver, thereby compensating for a deviation of the data driver.