The present invention provides a display panel and a driving method thereof, as well as a liquid crystal display device, which relates to the field of liquid crystal display technology, and can reduce the power consumption of the display panel. The display panel comprises a source driver, a plurality of pixel units defined by a plurality of gate lines and a plurality of data lines arranged crossly, and a common voltage output driver, the common voltage output driver is used for, at a Nth frame, inputting a negative common voltage to a first pixel unit, and at an adjacent frame of the Nth frame, inputting a positive common voltage to the first pixel unit, the first pixel unit is one of the plurality of pixel units, N is a positive integer; the source driver is used for, when the common voltage output driver inputs the negative common voltage to the first pixel unit, inputting a data voltage greater than or equal to the negative common voltage to the first pixel unit, and, when the common voltage output driver inputs the positive common voltage to the first pixel unit, inputting a data voltage less than or equal to the positive common voltage to the first pixel unit. The display panel can be applied in a liquid crystal display device.