Abstract: A method is described for preserving tissues and organs, in particular of tissues and organs for transplantation, in which the tissue or organ to be treated is temporarily stored in a well-cooled state, in particular at a temperature in the range from -3.degree. C. to 3.degree. C., for a predeterminable time in an oxygen atmosphere, in a space which can be closed off in air tight manner, wherein the oxygen atmosphere is built up in the space which can be sealed off in air tight manner with a pressure which lies above the atmospheric pressure, and wherein the pressure in the closed space is kept at a pressure lying above the atmospheric pressure for the whole or the further period of intermediate storage.