A method is provided for printing on hollow bodies in which the hollow bodies are printed on in a decorator having a rotating segment wheel. Printing ink provided by multiple different plate cylinders and inking units are each collected on printing blankets arranged one after another on the circumference of the segment wheel. The plate cylinders and inking units involved in the printing are arranged and set in such a way that, when printing on the hollow body, an iris print is, or at least can be implemented.