An apparatus for the printing and radiation treatment of a curved surface of an object, such as a body part, includes a printing unit, preferably an inkjet print head, a radiation unit, preferably a UV dryer, and a movement unit, preferably a robot, either for moving the printing unit and the radiation unit at a working distance along the surface or for moving the object at a working distance along the printing unit and the radiation unit. A shielding unit can be adjusted and/or deformed relative to the printing unit and/or relative to the radiation unit and during the printing. Scattered radiation is shielded and damage to the printing unit is prevented as a result of the special configuration of the shielding unit.