A 78-year-old woman was admitted to our hospital after computed tomography (CT) had revealed in her the presence of a giant ascending aorta-arch aneurysm. This aneurysm was about 8 cm in diameter and associated with DeBakey type II dissection. Aortography showed the same condition as the CT view with the entry on the ascending aorta. The ascending aortaarch was replaced with a Hemashield 24 mm, by using deep-hypothermic selective cerebral perfusion and the open distal method. There were no complications during her peripostoperative state and no evidence of leakage and remnant dissection on CT and aortography. This is a rare case in which thoracic aortic aneurysm coexisted with dissection. In this case of severe atherosclerosis, deep-hypothermic selective cerebral perfusion and the open distal method provided effective treatment.