Method for ink-jet printing

An ink-jet printing process comprising the steps of:

• (i) applying a first ink,
• (ii) applying a second ink, and
• (iii) applying a treating liquid reactive with each of said first and second inks in such a manner that the respective first ink, second ink and treating liquid come into contact with on the surface of a recording medium in a liquid state, wherein
• said first ink contains a first pigment selected from a self-dispersing pigment having at least one anionic group bonded directly or through another atomic group to the surface of said first pigment and a self-dispersing pigment having at least one cationic group bonded directly or through another atomic group to the surface of the first pigment,
• said second ink contains a dispersant and a second pigment capable of being dispersed in an aqueous medium by the polymer dispersant, the dispersant being at least one selected from a nonionic polymer dispersant and a polymer dispersant having the same polarity as that of the group bonded to the surface of the self-dispersing pigment,
• said treating liquid containing a compound having a polarity opposite to the group bonded to the surface of the self-dispersing pigment, and
• the step (iii) is carried out before the steps (i) and (ii).