A method of preserving, storing and transplanting mammalian donor organs. The method includes the cooling of refrigeration preservation, loading pre-freezer preservation, cryopreservation and washing solutions at least containing polyvinylpyrrolidone, a calcium channel blocker, a nucleoside, potassium chloride, polyethylene glycol, at least one amino acid, and a steroid to a temperature of 2° to 4° C. and / or of 0° to 2° C., harvesting a donor organ, perfusing it with one or more of the solution, immersing it in one or more of the solutions and storing it at a temperature above 0° C. or at a temperatures below 0° C. The cryopreservation solution also contains cryopreservative agents. Preserved organs may be transplanted directly from refrigeration storage or from freezer storage by cooling the washing refrigeration preservation solutions to 2° to 4° C., perfusing the organ with washing solution and then preservation solution, and transplanting it.