Vascular surgery, which in certain life-threatening situations is the only possible therapeutic option, has progressed considerably since its beginning in the 1950s. Because of the constant progression of vascular diseases, this surgery will present, in the forthcoming years, a major public health problem. Because of advances in medico-surgical management, evermore elderly and frail patients can be treated. Perioperative mortality is constantly decreasing, but much progress remains to be accomplished to prevent, avoid or treat, postoperative complications. They are common and serious in these typical patients with cardiovascular diseases (men over 50 years of age, heavy smokers, atheromatous ...). The AA divide these complications into 3 main groups depending on the surgical procedure: abdominal aortic surgery, carotid surgery and arterial and venous surgery of the lower limbs. There is much data on abdominal aortic surgery because these long and complex procedures produce repercussions often involving many systems. The postoperative complications are treated according to the system they involve: cardiovascular, the most serious, respiratory, the commonest, alimentary, neurological, renal, others, as well as combined systems. The AA do not deal with the specific problems associated with cardiac and cardio-thoracic surgery. The AA discuss the different epidemiological findings of the large surgical series published in the 1970s and 1980s. The more recent literature analyses the relationship between preoperative risk factors (atheroma, COAD, hypertension ...), peroperative problems (surgical difficulties, emergencies, massive transfusions, others) and the corresponding postoperative morbidity. Thus a few general outlines of the physiopathology of these different complications emerge. In the light of these notions the few proposed methods will be evaluated in order to improve the preoperative condition of the vascular patient. The AA also review the relevance of the preoperative investigation in patients for vascular surgery. All these measures aim at reducing the incidence and severity of perioperative morbidity.