Description of Hepatic artery. Hepatic artery: The major blood vessel that carries blood to the liver. Hepatic artery: arteries that supply the liver. Hepatic artery: A branch of the celiac artery that distributes to the stomach, pancreas, duodenum, liver, gallbladder, and greater omentum. Hepatic artery: A branch of the celiac artery that distributes to the stomach, pancreas, duodenum, liver, gallbladder, and greater omentum.