A new instrument for the immobilization and hemostasis of an anastomotic site is described for use during minimally invasive off-pump direct coronary artery bypass (MID-CAB). The mechanism is based on air suction of the heart surface. The instrument is unique in that it can avoid direct temporary of the distal end of the coronary artery to control bleeding. With this instrument, anastomosis of left intemal thoracic artery to left anterior descending artery (LAD) was successfully performed on three pigs. Additionally, in six patients the LAD could be stably and securely immobilized in the beating heart by the present instrument. The instrument is hereinafter referred as “MIDCAB doughnut,” which can make an operative field motionless and bloodless without distal snaring.