Press unit of a press, and press

A press unit of a press, in particular a web-fed rotary press, having at least one printing unit, the printing unit having at least one cylinder module comprising a form cylinder and a transfer cylinder and an inking module comprising an inking unit and, preferably, a damping unit. The inking module of the printing unit is arranged laterally beside the cylinder module of the printing unit, it being possible for the inking module of the printing unit to be moved translationally relative to the cylinder module of the printing unit in the axial direction of the cylinders of the cylinder module, in order to move the inking module of the printing unit between a printing position and a maintenance position.