An LCD and a driving method thereof are provided to allow a driving circuit to normally operate even at a low temperature by providing a thermal wire and a temperature detector. A liquid crystal panel assembly(300) includes an upper display substrate and a lower display substrate. A thermal line(TL) is disposed along an edge of the liquid crystal display panel assembly. A temperature detector(700) detects an ambient temperature. A thermal line controller(710) controls the thermal line according to temperature information from the temperature detector. One or more supports receive and support the liquid crystal display panel assembly. The thermal line is disposed at one of the supports.