A color electrophoretic display and a display method thereof are provided. First, three primary color display data is generated according to a color image data, and whether or not to display a color image is determined. When it is determined not to display the color image, the three primary color display data is converted into gray display data according to a gray gamut look up table to display a gray picture on the electrophoretic display. When it is determined to display the color image, the color gamut of the three primary color display data is adjusted according to a color gamut look up table to display a color picture on the electrophoretic display.