A liquid crystal display device (LCD), and a method of driving the LCD. The LCD includes: a display panel including a plurality of pixels defined as a plurality of gate lines and a plurality of data lines cross each other, wherein a storage capacitor of each of the plurality of pixels is connected to a front or rear gate line; a gate driver for generating a gate-on voltage by boosting a first input voltage in multi-stages, the gate-on voltage turns on a switching device of each of the plurality of pixels, and a gate-off voltage that turns off the switching device, and sequentially applying the gate-on voltage and the gate-off voltage to the plurality of gate lines; and a source driver for applying a data voltage to a data line connected to a pixel whose switching device is turned on.