Surgical replacement of aortic valves is the gold standard for therapy of high grade aortic valve stenosis. However, the changes in demography confront the responsible medical discipline with an increasingly higher risk profile of patients which necessitates the development of new less invasive alternative forms of treatment for the surgical therapy of aortic valve stenosis. This developmental process has progressed from mini-thoracotomy to transcatheter aortic valve implantation (TAVI). The TAVI procedure is a new therapeutic option for treatment of patients with high grade aortic valve stenosis and high perioperative morbidity and mortality risks with conventional aortic valve replacement. Because TAVI can be carried out while the heart is still beating and without a sternotomy or heart-lung maschine, this procedure is particularly suitable for elderly multimorbid patients and/or patients with previous cardiac surgery. The initial results of large prospective multicenter studies underline the value of TAVI in the modern treatment of high risk patients with symptomatic aortic valve stenosis. In addition to an understanding of the surgical procedure, anesthetists must have precise knowledge of the perioperative anesthesia management and possible complications of the procedure.