A liquid crystal display and a driving method thereof are provided. The liquid crystal display includes a plurality of pixels, a plurality of scan lines, and a plurality of data lines. Each pixel includes a plurality of sub-pixels. Each sub-pixel is coupled to the data line, and includes a switch, a storage capacitor, and a sub-pixel electrode. The switch is coupled to a scan line to receive a scan signal. The switch is turned on by the scan signal to receive a data signal transmitted from the data line. The storage capacitors of the sub-pixels of each pixel are coupled to the scan lines, or the storage capacitor of one of the sub-pixels of each pixel is coupled to a common electrode and the storage capacitors of the other sub-pixels are coupled to the scan lines. The switch and the storage capacitor of each sub-pixel are coupled to different scan lines. The method includes transmitting the scan signal having a plurality of voltage levels to modulate the voltage levels of one or more sub-pixel electrodes of the sub-pixels of the same pixel, thereby enabling the sub-pixels of the same pixel to have different voltage levels.