A liquid crystal display includes an active display area and gate drivers. The active display area includes display blocks, each display block including pixel rows. The gate driver sequentially outputs gate signals to the display block and drives corresponding pixel rows to display pixel images, or outputs a dummy gate signal to the display block to drive the corresponding pixel rows to display a compensation image for improving motion image quality. A method of driving the liquid crystal display includes using the gate drivers to sequentially drive the pixel rows of each of the display blocks to display pixel images, and using the gate driver to output a dummy gate signal to simultaneously drive the pixel rows of another display block to display the compensation image.