A liquid crystal display includes a gate driver generating a gate voltage including a gate on voltage and a gate off voltage, wherein the gate on voltage is applied for a first sub-frame and the gate off voltage is applied for a second sub-frame for at least one frame period, a data driver generating a data voltage, a plurality of gate lines sequentially receiving the gate voltage from the gate driver, a plurality of data lines receiving the data voltage from the data driver and insulated from the gate lines while crossing the gate lines, and a plurality of pixels formed on intersection areas of the gate lines and the data lines. Each of the pixels include a switching device operated by the gate voltage, a liquid crystal capacitor formed between a pixel electrode connected to the data line through the switching device and a common electrode corresponding to the pixel electrode, and a storage capacitor formed between a previous gate line and the pixel electrode, wherein a pixel electrode voltage applied to the pixel electrode is changed by the gate off voltage that is input to the previous gate line during the second sub-frame of the at least one frame period.