The purpose of this invention is to provide a method for maintaining the normal functions of an organ or a tissue for transplantation, as well as for long-term storage. Another purpose of the present invention is to provide a method for inhibiting the tissue damage along with warm ischemia and re-perfusion with the above method, in order to recover an organ from a heart-stopped donor to the state suitable for transplantation. Further, provided is a method for long-term maintenance of an mammal organ or tissue for transplantation by perfusing a perfusate, comprising the following steps: (a) a step of linking the “organ or tissue” to a perfusate influent cannula for flowing the perfusate therein, (b) a step of linking a perfusate effluent cannula to the “organ or tissue” for flowing the perfusate therefrom, and (c) a step of perfusing the perfusate containing an oxygen transporter and an inhibitor of blood coagulation into the “organ or tissue.”本發明之課題為提供可原樣維持用於移植之臓器或組織之功能並長期保存的技術。又,本發明之課題為提供利用該技術,抑制伴隨溫缺血及再灌流而來之組織損害,並使來自心跳停止之捐贈者之臓器回復至適於移植之水準的技術。本發明提供一種維持方法,其係使用灌流液進行灌流,而長期維持用於移植之哺乳類之臓器或組織的方法,該方法包含以下各步驟:(a)將用於使前述灌流液流入之灌流液流入用插管連接於前述「臓器或組織」的步驟;(b)從前述「臓器或組織」連接用於使前述灌流液流出之灌流液流出用插管的步驟;(c)將包含氧運輸體及血液凝固阻礙劑之灌流液灌流於前述臓器或組織內的步驟。