In this study, we report two cases of appendiceal diverticulitis with perforation. Case 1 was a 50-year-old man who visited our hospital because of epigastralgia and pyrexia. He had rebound tenderness in the right lower abdominal quadrant, as well as an increased inflammatory response observed upon biological examination. Computed tomography revealed an enlarged appendix. He was diagnosed with acute appendicitis, and emergency surgery was performed. Based on pathological examination, he was finally diagnosed with appendiceal diverticulitis with perforation. Case 2 was a woman in her twenties with a chief complaint of lower abdominal pain. She had consulted a nearby gynecologist when she first experienced the pain. She presented to our hospital the next day because her symptoms had not improved, even after taking analgesic drugs. There was muscular defense in the lower abdominal quadrant, as well as an increased inflammatory response. Emergency surgery was performed, and she was diagnosed with appendiceal diverticulitis with perforation based on pathological examination. Although appendiceal diverticulitis is rare, perforation has been reported to occur with it frequently. In addition to describing our two cases, we also provide a review of the literature.