Abstract: A container for storing blood for a long period of time to keep the quality of the blood in good condition, is formed of a laminated film type bag composed of at least one thermoplastic resin film layer and at least one addition polymerization type silicone rubber film layer, the surface of the laminated film which comes in direct contact with the blood is made of the addition polymerization type silicone rubber film layer; the thermoplastic resin film layer has a permeability to carbon dioxide gas of 6,000 to 70,000 ml/m.sup.2.24 hr. for a thickness of 0.025 mm at 25.degree. C.; and the whole laminated film type bag has a permeability to carbon dioxide of 5,000 ml/m.sup.2.24 hr.atm at 25.degree. C. for storing whole blood and packaged red blood cells, and a permeability to carbon dioxide of 2,000 to 9,000 ml/m.sup.2.24 hr. atm at 25.degree. C. for storing platelet preparations.