A liquid crystal display and a method of driving the same are provided. The liquid crystal display includes a liquid crystal display panel including data lines, gate lines crossing the data lines, and liquid crystal cells and having a quad type pixel structure in which red, green, blue, and white subpixels constitute one pixel, a logic circuit sequentially outputting polarity control signals, a data drive circuit that inverts a polarity of a data voltage in response to the polarity control signals to supply the data voltage with the inverted polarity to the data lines, and a gate drive circuit sequentially supplying gate pulses to the gate lines. A logic level of each of the polarity control signals is inverted every three horizontal periods, and phases of the polarity control signals are different from one another.