The liver is transplanted in one stage and 4 vascular anastomoses are required, as follows the inferior vena cava below the liver, the inferior vena cava above the diaphragm, the portal vein and the hepatic artery. Thus, an anatomically normal hepatic circulation is restored in the transplanted animal. These anastomoses can be accomplished in about 1 hour, well within the permissible period of total ischemia for the hypothermic liver maintained at a temperature below 28[degree]C. Biliary drainage is reestablished by cholecystenterostomy or cholecystostomy. This procedure yields an animal in excellent condition at the close of the operation, with postoperative survival up to 6 days and evidence for good function of the transplanted liver.