The article is devoted to modern aspects of the prevention of neurological complications during operations for a rare congenital malformation of the cardiovascular system - congenital deformity of the aortic arch, accompanied by compression of the aortic arch, including proximal to the left common carotid artery. The main components of the formation of cerebral circulation disorders at the stage of aortic compression and the role of the autoregulation mechanism are described. The importance of hypothermia, auxiliary artificial blood circulation, and selective perfusion of the branches of the aortic arch in the prevention of disorders of cerebral and spinal circulation was evaluated. The results of the work showed that auxiliary artificial blood circulation allows performing surgical treatment of this complex group of patients with a high degree of protection from ischemic damage to the neurons of the brain. The possibility of selective transfusion of the left common carotid and subclavian arteries allows you to squeeze the aortic arch proximal to these branches and apply anastomoses in convenient conditions without temporary pressure. Careful adherence to the protocol of the operation allows both to significantly reduce the likelihood of severe neurological complications in the early postoperative period and to prevent fatal complications in the long term.