This invention is a universal gamut mapping and color management method and relates to color digital image processing technical field. It involves high-accuracy image coordinates conversion in device color space, high fidelity chroma transmission between input and output devices, cross-media gamut mapping technologies and color management system built based on these technologies.This invention is accurate, efficient and versatile. It can be widely used in image processing hardware manufacture and software design for image transmission and receiving devices such as computer, digital TV, digital image displays, digital video camera and television camera, etc. Technical features of this method: eliminates red-shift interference, keeps 3 primary colors' independency and channel independency during color synthesis and segmentation, gives priority to grey component reproduction, transfers luminance and chromaticity data in accordance with luminance independent theory, new Dlxlyl profile connection space, accurate color prediction and gamut mapping equation, etc. The combination of all these features guarantees the versatility of this method.