A device for driving a liquid crystal display device includes a liquid crystal panel having a plurality pixel regions formed thereon, a data driver to drive data lines on the liquid crystal panel, a gate driver to drive gate lines on the liquid crystal panel, a driving voltage generating unit to generate a common voltage wherein a level of the common voltage swings every frame, and a timing controller to control the driving voltage generating unit and the gate driver to generate a gate driving voltage wherein a level of the gate driving voltage varies in accordance with the common voltage swinging level.