Printed products produced by assembling on saddle-shaped supports are conveyed onwards lying on the supports and during this conveyance are processed in the area of their fold line between a tool acting from outside and a counter-tool acting from inside, i.e., from the supported side. For being processed, the printed products are lifted off from the saddle line of the supports by the counter-tools, such that a relative movement between the saddle-shaped support and the counter-tool does not deform or damage the printed products. Through this measure it becomes possible to design the circuit of the supports and the circuit of the counter-tools largely independent of one another. The supports or their saddle lines respectively, for example, are able to move through the processing zone in a straight line, while the distal ends of the counter tools circulate on a round circuit.