A method of driving and a liquid crystal display that are adaptive for preventing a motion blur phenomenon inserting a black data without reducing a data charging time are disclosed.In the liquid crystal display, a first gate line supplies a first scanning signal. A second gate line supplies a second scanning signal. A data line supplies a data signal. A common line supplies a common voltage. A first thin film transistor supplies the data signal in response to the first scanning signal. In a liquid crystal cell, a pixel electrode is connected to the first thin film transistor and a common electrode is connected to the common line. A second thin film transistor supplies the common voltage to the pixel electrode in response to the second scanning signal.