The present invention discloses a liquid crystal display device, comprising a time sequence controller configured to receive external control signals, generate driving control signals based on the external control signals, and send respective driving control signals to the source driver and the gate driver. The time sequence controller comprises a logic signal generating module configured to generate a logic signal, which is used to switch off an interior analog circuit of the source driver when the liquid crystal display panel is in a drive-stopping state and to switch on the analog circuit when the liquid crystal display panel is in a driving state, a source driver and a gate driver configured to respectively generate driving signals based on the driving control signals and the logic signal and send the driving signals to the liquid crystal display panel, and a liquid crystal display panel configured to display images in accordance with the received driving signals. The present invention also discloses a method for driving a liquid crystal display. The present invention is made so that the time sequence controller outputs the logic signal to the source driver so as to switch off the interior analog circuit of the source driver within the drive-stopping time duration, thereby reducing the power consumption of the liquid crystal display device.