The invention relates to a continuously operating press for pressing planar products. The press comprises facing platens (7, 7') between which the product (1) to be pressed is passed in order to subject the same to compression. The press further includes slat elements (2, 2') introduced as a continuous line of adjacent slat elements between the product (1) being pressed and both ones of the press platens (7, 7') so as to make the slats to travel with the product being pressed and to slide along the press platens, the surface of the slats facing the platens being provided with a tray recess. The press platens are provided with pressurized-medium ducts whose ends exit at the platen surface facing the recessed surface of the slats and whose mutual duct-to-duct spacing between their exit openings in the operating direction of the press is selected to connect the slats to a pressurized-medium source when the openings coincide with the tray recess while the connection is interrupted at the tray recess boundary ridge areas of successive slats.
