A color image processing apparatus of the present invention includes (1) first lattice for dividing a color separation signal space in the form of a lattice so as to store in a table coordinates of lattice points of the color separation signal space thus divided and (2) second lattice for further dividing a specific unit cube of the lattice in the form of a lattice so as to additionally store in the table coordinates of lattice points of the specific unit cube thus divided. Depending on whether or not inputted image data of image information belong to the specific unit cube of the lattice, color correction method having different conversion accuracy is adopted, thereby permitting to provide a color image processing apparatus which reduce the occurrence of an error when color-correcting a color requiring accurate color correction, and prevent the continuity of an image from being not kept.