A printing unit, which is a part of a multi-color printing press, has a plurality of double printing units which are arranged vertically one above the other and consist of two printing groups forming a double print position. The printing group cylinders are mounted together in a central stand section. Inking units, which are associated with the printing groups, are mounted in outer stand sections. A distance between adjacent ones of these stand sections is adjustable. Printing and transfer cylinders of each printing group are coupled by a toothed gear wheel connection and are driven in pairs by a separate drive motor. The toothed gear wheels of all of the printing group cylinders are arranged in a common lubricant chamber which is formed by the central stand section and a cover. The inking systems have at least one separate drive motor, which is independent of the printing group cylinders.