A device for printing on containers, in particular non-rotationally symmetric containers, including at least one printing unit including at least one print head, a conveying system, which includes a plurality of container reception means arranged for rotation about axes of rotation and which is configured such that the container reception components circulate on a closed path and a print area of an outer surface of a container accommodated in a container reception components is movable past the print head, and at least one first drive adapted to rotate the container reception component, accommodating the container, about its axis of rotation by at least one open-loop and/or closed-loop control unit, the first drive being adapted to be variably controlled such that the print area is moved past the print head at a predetermined, substantially constant printing distance.