A liquid crystal display and a driving method thereof are provided. The liquid crystal display includes: a liquid crystal display panel including a plurality of data lines, a plurality of gate lines crossing the data lines, and pixels arranged in m×n matrix; a register for defining polarity pattern information, frame rotation information, and line rotation information to determine a polarity of a data voltage charged in N lines, wherein N is a positive integer less than n; a timing controller for generating a polarity control signal to control polarities of data voltages charged in n lines of the liquid crystal display panel based on the information read from the register; and source drive ICs for converting the polarities of the data voltages supplied to the data lines in response to the polarity control signal.