[Problem] To provide a preservative solution for cells, tissues and organs using a rare sugar and a preservation method using the solution.[Means for Resolution] A preservative solution for cryopreservation of animal or human organs and animal or plant tissues or cells, the solution containing a rare sugar D-allose. A preservative solution for cryopreservation of the human kidney, cells derived from animals or humans, or human or animal sperm and/or ovum and/or fermented ovum in which the cryopreservation is conducted at from −5 to 20° C. A preservative solution for cryopreservation of cells derived from animals or humans, or human or animal sperm and/or ovum and/or fermented ovum in which the cryopreservation is conducted at a temperature at which to start freezing to −196° C. A method for cryopreservation of an animal or human organ and an animal or plant tissue or cell at a low temperature, which comprises (a) refluxing or immersing a preservative solution for cryopreservation containing a rare sugar 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.