The Maxillary artery is a terminal branch of the external carotid artery. It lies either superficial or deep to the lateral pterygoid. It passes deep to the neck of the mandibular condyle. The first mandibular segment is found between the mandibular ramus and the sphenomandibular ligament, the second pterygoid segment at the level of the pterygoid and the third pterygopalatine segment within the pterygopalatine fossa (enters via the pterygopalatine fissure). The mandibular and pterygoid parts are associated with the infratemporal fossa and the pterygopalatine part is associated with the deep face and nasal region. The terminal branches of the internal maxillary artery are the sphenopalatine and greater palatine arteries.