A subperiosteal abscess is a form of orbital cellulitis characterized by a collection of fluid and pus confined by the periosteal lining of the orbit. In neonates, orbital abscesses are extremely rare. We present a case of a 26-day-old baby girl with severe orbital cellulitis in the right eye. A computed tomography (CT) scan of the orbits and paranasal sinuses revealed right orbital cellulitis with medial subperiosteal and retro-orbital abscess. The growth of Staphylococcus aureus was found in eye discharges. The patient was started on intravenous ceftriaxone and intravenous metronidazole. Urgent drainage of the abscess was performed via functional endoscopic sinus surgery (FESS). She recovered well after intravenous antibiotics and surgical drainage. Surgical drainage via endoscopic technique is the preferred treatment to prevent further complications.