The present invention provides a multiple primary colors liquid crystal display and a driving method thereof. The multiple primary colors liquid crystal display comprises a LED backlight source (1) and a liquid crystal display panel (3); the LED backlight source (1) comprises a plurality of red, green, blue and cyan LEDs (11, 12, 13, 14); the liquid crystal display panel (3) comprises a CF substrate (33), and the CF substrate (33) comprises a plurality of red, green and blue filters (331, 333, 335). The red, green and blue LEDs (11, 12, 13) are activated as showing the first color frame, and lights transmitting through the red, green and blue filters (331, 333, 335) respectively are red light R, green light G and blue light B; the red and cyan LEDs (11, 14) are activated as showing the second color frame, and lights transmitting through the red, green and blue filters (331, 333, 335) respectively are the red light R, a first cyan light C1 and a second cyan light C2, capable of basically and completely achieving all objects' colors of nature.