The invention relates to a sheet-fed printing press, comprising at least one high performance printing unit, especially a laser printing unit, and several ink jet printing units (12) which are each situated on one of several parallel sheet conveying channels, said sheet conveying channels being connected to a shared sheet input channel on the input side via sheet guides (W1 to W7) and to several sheet temporary storage devices (14, 16) on the output side. Said sheet temporary storage devices are connected in turn to a shared sheet output channel on the output side. The at least one high-performance printing unit is connected to the shared sheet input channel of the ink jet printing unit (12) or to the shared sheet output channel of the sheet temporary storage device (14, 16). The inventive sheet-fed printing press and a rotary printing press to which the invention also relates enable quick, problem-free and economical multicolour printing and are simple and economical to produce.