A blood storage system comprising: a collection vessel for red blood cells; an oxygen or oxygen and carbon dioxide depletion device; a storage vessel for red blood cells; tubing connecting the collection vessel to the oxygen or oxygen and carbon dioxide depletion device and the oxygen or oxygen and carbon dioxide depletion device to the storage vessel; and a gamma or X-ray irradiating device is used to irradiate red blood cells stored in the vessel, storing red blood cells under anaerobic conditions.