The transplantation of a donor kidney is currently the treatment of choice for terminal renal insufficiency. However, major postoperative problems may be caused by vascular complications. It was therefore decided to look for possible correlations between these vascular problems and the arterial wall supply. The following methods were used to elucidate the origin and distribution of nutrient vessels: 1. Injection of the abdominal aorta with resin in three fresh cadavers. 2. The precise microscopic location of the branches originating from the renal arteries in eighteen autopsy subjects. 3. Abdominal angiography and selective angiography of the first left lumbar artery and left renal artery in one patient. It was found that the renal artery receives its blood supply from both internal and external nutrient vessels. The external vascular supply of the renal arterial wall originates from the aorta itself, from the inferior suprarenal artery (which sometimes has connections with the first and/or second lumbar artery) or from the diffuse vascular system of the retroperitoneal space. Because of the variety in number, course and origin of these nutritional vessels, an ideal point for the anastomosis of the renal artery cannot be indicated.