An auxiliary device for safely and surely performing off-pump coronary artery anastomosis and low-invasive coronary artery bypass. This device consists of a means for elevating the heart to enable an operator to see the anastomosed part directly in the face and, at the same time, achieving the static state of the anastomosed part a means for perfusing the blood in the peripheral side of the coronary artery during the anastomosis of a blood vessel for bypass and a means for fastening the coronary artery in the central side and in the peripheral side of the anastomosed part of the coronary artery to thereby block the blood flow, thus maintaining the anastomosed part in a blood-free state.