A method for printing an ink jet marking on a non-wetting surface for liquid ink, includes forming at least a first drop of solidified ink on the surface, by ejecting, by means of a printhead, a first drop of liquid ink at a first given ejection velocity and with a first given volume, and depositing, on at least one portion of said first drop of solidified ink, at least a second drop of ink having a second volume VOL2, by ejecting, by means of a printhead, a second drop of liquid ink at an ejection velocity.