While oral and maxillofacial surgery such as orthognathic surgery, TMJ surgery is in progress, there always exists a risk of bleeding from maxillary artery, and this perplexes the surgeon in operation. In case of massive bleeding, it is mostly very difficult or even impossible to take an immediate action in order to stop bleeding. Even when hemostasis is possible by applying such methods as the use of local hemostatics, pressing, electrocoagulation or direct ligation, there is a high risk of secondary bleeding. Therefore, in case there is bleeding from maxillary artery, it is the best to restrain bleeding completely either by the ligation of the artery in bleeding in operation fields or by the ligation of the external carotid artery.