The present invention relates to device for driving liquid crystal display (LCD) and method for driving the same. The device for driving LCD comprises a voltage input module for receiving Gamma reference voltage; a voltage generation module connected to said voltage input module, for generating pixel driving voltage of a corresponding color with one resistor-chain, according to the Gamma reference voltage and the color of pixel being driven; and a voltage output module connected to said voltage generation module, for transmitting the pixel driving voltage of said corresponding color to a liquid crystal panel. According to an embodiment of the present invention, voltage generation units that respectively generate pixel driving voltage of three colors are set on one resistor-chain, and a corresponding voltage generation unit is selected by a multi-selector according to the color of pixel being driven, so that the corresponding voltage generation unit transmits the pixel driving voltage to the voltage output module. According to an embodiment of the present invention, color shifting phenomenon is effectively overcome, thus improving TFT-LCD's picture quality.