A driving method of a display panel and a display device are provided. The driving method includes adopting drive data of relatively high voltage and drive data of relatively low voltage respectively for driving any two adjacent pixels; in each of the rows, with adjacent three pixels as a repeater, a polarity arrangement drive adopted by the pixels in a first column is different from a polarity arrangement drive adopted by the pixels in other two columns, the polarity arrangement drive above is one of a first polarity arrangement drive and a second polarity arrangement drive; in each of the columns, the polarity arrangement drive of every two of the pixels is identical; the first polarity arrangement drive and the second polarity arrangement drive are alternately changed with two of the pixels as a repeater. The display device uses such a driving method.