Falciform ligament

The falciform ligament is a ligament that attaches the liver to the anterior body wall. It is a broad and thin antero-posterior peritoneal fold, its base being directed downward and backward and its apex upward and backward. The falciform ligament droops down from the hilum of the liver. 

It is a remnant of the ventral mesentery, and contains the round ligament of the liver (remnant of the umbilical vein of the fetus) in its anterior margin.