A preservative solution for low temperature preservation of animal or human organs and animal or plant tissues or cells contains D-allose. For the human kidney, cells derived from animals or humans, or human or animal sperm and/or ovum and/or fermented ovum, the preservation is conducted at from −5 to 20° C. For cells derived from animals or humans, or human or animal sperm and/or ovum and/or fermented ovum, the preservation is conducted at a temperature at which to start freezing to −196° C. A method for the low temperature preservation of an animal or human organ and an animal or plant tissue or cell at a low temperature comprises (a) refluxing or immersing a preservative solution containing D-allose and the organ or the tissue or mixing the cell therewith, and (b) cooling the organ, the tissue or the cell to a low temperature of from −5 to 20° C.
