A liquid crystal display and a driving method thereof. The liquid crystal display includes a timing controller, a gate driver, a data driver and a liquid crystal panel. The timing controller stores a plurality of sets of gray level correction values, each set of gray level correction values corresponding to each gray level and generates corrected gray level data in response to input gray level data, the corrected gray level data reflecting the gray level correction values corresponding to the input of gray level data. The brightness of the corrected gray level data is time-averaged to be equal to brightness of the input gray level data.