We experienced three patients with partial intramural coronary artery diagnosed preoperatively. We gave balanced anesthesia using narcotics and non-narcotic analgesics for non-cardiac surgery, administering phenylephrine against hypotension. The anesthetic course was relatively stable. According to the special pathophysiology of this disease, tachycardia and hypotension associated with anesthesia should be avoided, and special caution is needed when nitroglycerine is used due to its adverse effect on systolic narrowing of the coronary artery.