A driving method of display panel and a display apparatus are provided. In the driving method, unequal first and second voltage signals for sub-pixels are obtained. Image input signals include first and second images adjacent in timing. In the first image, the first and second voltage signals of a first sub-pixel of a first pixel group respectively drive first sub-pixels of first and second pixel groups, and the second and first voltage signals of a second sub-pixel of the second pixel group respectively drive second sub-pixels of first and second pixel groups. In the second image, the second and first voltage signals of the first sub-pixel of the second pixel group respectively drive first sub-pixels of first and second pixel groups, and the first and second voltage signals of the second sub-pixel of the first pixel group respectively drive second sub-pixels of first and second pixel groups.