Falciform ligament appendagitis (FLA) is a rare cause of intraperitoneal focal fat infarction (IFFI) characterized by the torsion of a fatty appendage related to the falciform ligament. FLA demonstrates characteristic features on computed tomography (CT), especially the hyperattenuating ring sign. Because of these characteristic features, a diagnosis of FLA can be achieved with CT alone. By recognizing the signs of FLA, radiologists can prevent unnecessary surgical intervention. We report two cases of FLA with associated images to assist radiologists in diagnosing this rare entity.