The methods described herein provide treatment of glaucoma, ocular hypertension, and elevated intraocular pressure with latanoprost or other therapeutic agent(s). Implant devices for insertion into a punctum of a patient provide sustained release of latanoprost or other therapeutic agent(s) that is maintained for 7, 14, 21, 30, 45, 60, or 90 days or more, thus avoiding patient noncompliance and reducing or lowering adverse events associated with eye drop administration of latanoprost or other therapeutic agent(s) and other therapeutic agent(s).
