This application discloses a driving method and a driving apparatus of a display device. The driving method comprises: acquiring a target color system which is to-be-adjusted, acquiring color shift grayscales corresponding to a color shift generated by the target color system, acquiring original grayscales corresponding to the target color system in an input signal, deleting a portion of color shift grayscales in the original grayscales, obtaining mapping grayscales corresponding to the target color system, adopting a high-bit drive semiconductor element or a frame ratio control, and outputting a signal of the mapping grayscales corresponding to the target color system.