hepatophrenic ligament hepatophrenic ligament the hepatophrenic ligament is a ligament connecting the liver to the diaphragm. hepatophrenic ligamentposterior and inferior surfaces of the liver.fromlivertodiaphragmidentifiersta98a10.1.02.102ta23751fma76977anatomical terminology it is sometimes considered part of the lesser omentum. it is also sometimes considered part of the coronary ligament. however, it is not a term used by most anatomy resources.