A device and method for driving a liquid crystal display device capable of minimizing a motion blurring phenomenon of a display image and improving the display quality of the display image are disclosed. The apparatus for driving a liquid crystal display device includes a liquid crystal panel having liquid crystal cells formed in regions defined by a plurality of gate lines and a plurality of data lines; a timing controller which analyzes a motion speed of an image in input data and converts the input data of one frame into different first and second double frame data or identical first and second double frame data according to the motion speed; a gate driver which sequentially supplies gate on voltages to the gate lines for each of first and second double frames under the control of the timing controller; and a data driver which converts the double frame data supplied from the timing controller into an analog video signal and supplies the analog video signal to the data lines under the control of the timing controller.