The lamination apparatus of this invention is furnished with a supporting member for a core roll around which films and so forth are wound. The supporting member is durable and can hold firmly the core roll without slip of the core roll for the shaft. The lamination apparatus is to form lamination layers of laminate film pasted on the surface of the printed matters like computer output media, posters, advertising fliers and so forth. The supporting member for a core roll is comprised of a flexible tube 74 like a soft vinyl tube with both ends fixed with fitting 75 in the grooves made on the cylindrical surface of the shaft 71 cut in the axial direction which supports a core roll of laminate film, carrier film and so forth.