The authors present data on the development and introduction of anesthetic techniques during cardiac surgery at the Institute of Thoracic Surgery, USSR Academy of Medical Sciences, in 1956-1960 and after its reorganization to the Institute of Cardiovascular Surgery, USSR Academy of Medical Sciences, in 1961-1965. It is shown that in the years of introduction of closed operations on the heart, the methods of one- and many component inhalational anesthesia were mastered, its techniques were developed, anesthesia apparatuses and an anesthesia schedule were designed, cardiac anesthesiological studies were conducted, training of physicians from the country's regions was initiated, and the first guidelines for general anesthesia were published. In these years, the firm foundation was laid for the development of cardiac anesthesia. Later on the Institute developed and introduces all basic types of inhalational anesthesia during operations on the open heart under both extracorporeal circulation and hypothermia. The gained experience allowed the laboratory staff to defend several dissertations, to issue two monographs, and to analyze errors and risks of general anesthesia in patients with cardiovascular diseases at surgery.