The present invention relates to an OCB liquid crystal display, wherein a normal image data voltage and a black gray data voltage are repeatedly applied to a data line and a gate on signal of the gate line is controlled to form a pixel row (normal data pixel row) having the normal image data voltage applied thereto, a pixel row (black data pixel row) having the black gray data voltage applied thereto, and a pixel row (middle pixel row) having both of the normal image data voltage and the black gray data voltage applied thereto, and accordingly flicker is not visible, the OCB liquid crystal is not broken, and the liquid crystal display is improved in luminance.