A method for flexographic multi-color printing, wherein a print medium web is passed continuously through a flexographic printing press having at least two ink units, each ink unit including a printing cylinder, an anilox roller and an ink sup-ply system adapted to supply liquid ink of a specific color to the anilox roller, wherein the inks supplied in the different ink units differ in both, color and mass density, the method including the steps of mounting, in at least one of the ink units, an anilox roller having a larger diameter than the anilox roller of another one of the at least two ink units, and during printing, supplying the ink with the largest mass density to the anilox roller having the larger diameter.