The present disclosure relates to a driving method and a driving device of display panels. The driving method includes: obtaining three-color sub-pixel data of each of pixels of a current image, obtaining a saturation value corresponding to each of the pixels in accordance with the three-color sub-pixel data of each of the pixels, obtaining a current background-white ratio in accordance with the three-color sub-pixel data and the saturation value of each of the pixels, determining whether the current background-white ratio is within a predetermined adjustment range, and reducing a white grayscale value of four-color sub-pixel data of the current image in accordance with the current background-white ratio and outputting the reduced white grayscale value to a display panel. In this way, the darker pure-color effect due to the high contrast may be reduced, which effectively enhances the darker pure-color issue of the RGBW display panel.