A graphene display device includes a graphene display unit and a display control unit electrically connected with the graphene display unit. The graphene display unit includes a plurality of graphene light emitting structures constituting dynamic sub-pixels of the graphene display unit. The graphene display unit is configured for dividing pixel gamut of multiple base colors of pixels of the graphene display unit. A relationship between the pixel gamut and a pixel gamut coordinate is configured, and the graphene display unit controls the dynamic sub-pixel to display corresponding light in accordance with the pixel gamut coordinate of the inputted pixel. In addition, a display driving method of graphene display devices is disclosed. The graphene display device may accomplish multiple base colors display with fewer pixels such that wider color gamut coverage may be provided, and the aperture rate of the display device is enhanced and the power consumption is reduced.