A continuous material press for the production of material sheets made of substances which require a high pressure and an intensive thickness reduction during the pressing process, with the press including a heated/cooled and driven central drum, and a circulating endless steel belt tensioned around the central drum, with the material to be pressed being guided and pressed between the shell surface of the central drum and the steel belt. An additional stationary pressing device comprised of elastic steel belt sections is located outwardly of the endless steel belt and is mounted in tension to variably increase the pressure on the endless steel belt and thus on the material. An opening is formed in the steel belt section mounted in which is a pipe for delivering compressed air or water vapor to interface on the endless steel belt and the stationary steel belt section, the compressed air or water vapor forming a lubricating film for reducing friction.