A method and a device for ink-jet printing onto containers is described, in which at least one container is rotated and/or transported along a curved path, and associated surface velocities of partially circumferential portions of a lateral container surface are measured, where the printing times and/or a rotational velocity of the containers associated with the partially circumferential and/or intermediately disposed portions are adapted to the surface velocities. Changes in the print advance rate caused by different surface velocities in front of print heads can thereby be compensated. This allows for uniform print resolution and seamless joining of partial prints.