The issue of the present invention is to provide a kind of technologies to make it possible to store the long-time use for the organ or tissue of transplanting, while keeping the organ or tissue of function. The present invention is also actively working to the problem and provides a kind of technology, and a level for preventing the slave donors heart of injury in vitro histoorgan of heat from stopping restoring organ transplant in the state of fighting is suitable for using above-mentioned technology. It is a kind of to maintain mammalian organs or tissue transplantation in perfusion and the method for filling being used for a long time using it, the step perfusion liquid for including (a) connection flows into casing and allows flow into perfusion liquid into " organ or tissue ", the step of connection of b step allows perfusion liquid to flow out the perfusion liquid of intubation outflow from " organ or tissue ", and perfusion liquid is perfused in (three) includes oxygen transport and a blood coagulation inhibitor to organ or tissue It is other.