An LCD device and a method of driving the same are disclosed, to improve a picture quality by realizing a rapid response speed, wherein the LCD device comprises an image display part which includes liquid crystal cells formed in respective regions defined by a plurality of gate and data lines; a timing controller which modulates data inputted according to a first frame frequency to modulation data to realize a rapid response speed of liquid crystal, and outputs the modulation data or data to a second frame frequency; a gate driver which generates gate on voltages under control of the timing controller, and supplies the gate on voltages to the gate lines in sequence; and a data driver which converts the modulation data or data supplied from the timing controller to a data voltage, and supplies the data voltage to the data line in synchronization with the gate on voltage.