A low color shift liquid crystal display and a driving method thereof are provided. The liquid crystal display comprises a plurality of data lines; a plurality of scanning lines arranged across the plurality of data lines, two adjacent scanning lines and two adjacent data lines arranged across the two adjacent scanning lines together defining a pixel region; and a plurality of pixels each comprising a first and a second sub-pixels. The first sub-pixel is connected to a first scanning line of the two adjacent scanning lines, the second sub-pixel includes a compensation capacitor, which is coupled to a second scanning line of the two adjacent scanning lines. Thereby a voltage difference can be maintained between the two sub-pixels under the same driving condition, and the voltage difference can be easily adjusted by suitably changing the waveforms of scanning drive signals on the scanning lines.