An apparatus for driving a liquid crystal display device includes a liquid crystal panel having a plurality of gate lines and a plurality of data lines, a gate driver, a data driver, a data converter, and a timing controller. The timing controller controls the drive time of the gate and data lines, and generates a content data signal that is supplied to the data converter. The data converter processes the received content data signal, detects whether the content data signal corresponds to a moving or non-moving image, and outputs a modulated data signal to increase or decrease the response speed of a liquid crystal. The type of modulated data signal output from the data converter depends on whether the data converter detects a moving or non-moving image. A data driver receives the modulated data signal and converts the signal into a video signal that is supplied to the data lines.