A liquid crystal display and a method of driving the same are disclosed. The liquid crystal display includes a timing signal multiplying circuit multiplying a frequency of a timing signal, a timing control signal generating circuit generating a polarity control signal based on the multiplied timing signal, a polarity control signal inverting circuit that inverts the polarity control signal in response to an inverse periodic signal, that is inverted every constant time interval, to generate an inverse polarity control signal, and a data drive circuit that respectively converts digital video data and digital black data into a video data voltage and a black gray level voltage, inverts polarities of the video data voltage and the black gray level voltage in response to the inverse polarity control signal, and supplies the video data voltage and the black gray level voltage to data lines.