A sheet-fed offset printing press for printing on both sides of sheets has a compact construction and permits a number of color separations to be printed over one another in recto printing or recto and verso printing in a flexible manner and with high print quality. A plurality of printing units, which are disposed behind one another, each include at least one form cylinder, a transfer cylinder, a first impression cylinder and an inking unit having at least one ink applicator roll associated with the form cylinder. A second impression cylinder, which interacts with the transfer cylinder and the first impression cylinder, is provided in at least one printing unit.