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).本文所述方法提供用拉坦前列素(latanoprost)或其他治療劑治療青光眼、高眼壓、及高眼內壓。插入患者淚點中之植入物器件提供維持7、14、21、30、45、60、或90天或更久之拉坦前列素或其他治療劑之持續釋放,由此避免患者不順應性及減少或降低拉坦前列素或其他治療劑及其他治療劑之滴眼投與有關之不良事件。(無元件符號說明)