of ink jet printing in accordance with the present invention includes forming the border of an image and the border between different hue regions by ink jet recording with a first ink containing an antibleeding agent and forming mixed color sections comprising one or more colors by applying droplets of the second coloring ink using ink jet recording to inner regions located within these borders the amount of dye adhered to the colored sections ranges from 0 01 to 1 mg cm 2 preferably 0 015 to 0 6 mg cm 2 and more preferably 0 02 to 0 4 mg cm 2 the amount can be determined by the amount of discharged ink and the observed dye concentration in the ink because coloring at a high density cannot be achieved with an amount of dye of less than 0 01 mg cm 2 the advantages of the present invention are not revealed below that level applying an amount of ink over 1 mg cm 2 does not provide significant benefits in density color reproducibility and dye stability so again the benefits of this invention cannot be seen known ink jet methods can be used for printing according to the present invention the.