During the last 10 years increase in the number of surgical centers developing the practice of off-pump heart surgeries has been noticed. Our medical centre, where 140 CABG surgeries have been performed, is one of the like. Such surgeries demand multicomponent anesthetic manual able to provide adequate depth of anesthesia, hemodynamic stability, prevention of intraoperative myocardial ischemia, providing an early patient activation in a postoperative period. On the assumption stated above we suggest and compare two anesthetic methods - total intravenous anesthesia on the basis of Propofol and Phentanylum and inhalational anesthesia on the basis of Isoflurane for providing CABG Surgery. It has been detected that the anesthetic methods offered by us enable to provide an adequate anesthetic defence while performing CABG Surgeries in case of stable markers of hemodynamics and oxygen transfer functions. Mild hemodynamic disorders have been detected in the operation course first of all at the expense of positional changes and heart immobilization. These disorders have not lead to the deterioration of oxygen transfer functions and have been totally eliminated in the recovery period. Worked-out anesthetic methods on the basis of Midazolam, Propofol, Isoflurane and low doses of Phentanylum (5-7 mcg/kg per hour) give a possibility to decrease the period of artificial lung ventilation, provides an early (less than 6 hours) and safe extubation for 86% of the patients and reduces their stay in a resuscitation unit as well.