Abstract: A twin-edged foam plastic cleaving machine having a machine frame and a drive for guiding and adjusting a band blade support, a workpiece table (including also a conveyor belt system), movable in relation to the machine frame, for receiving the block of foam plastic to be cut, a twin-edged band blade arrangement, and a truss which is disposed on the side of the band blade remote from the block of foam plastic to support the band blade against yielding both due to a tensile force exerted on the band blade and also due to the reaction compressive force.