A driving method for local dimming of a LCD device includes dividing a frame into a plurality of blocks corresponding to a plurality of dimming blocks of a backlight unit, calculating an average value of each color in a block by analyzing image data of the block and determining, for the block, a local dimming value of each color corresponding to the average value of the color, detecting a maximum value among the average values of respective colors in the block determining a luminance local dimming value corresponding to the maximum value in the block, driving a plurality of LEDs corresponding to the block in the backlight unit on a color basis according to the local dimming value of each color in the block, or a color basis using the same luminance local dimming value according to whether the block is a chromatic color area or an achromatic color area.