Ophthalmic suture materials made from biocompatible and biodegradable polymers with high tensile strength for use in drug delivery, methods of making them, and method of using them for ocular surgery and repair have been developed. The suture materials are made from a combination of a biodegradable, biocompatible polymer and a hydrophilic biocompatible polymer. In a preferred embodiment the suture materials are made from a poly(hydroxyl acid) such as poly(l-lactic acid) and a polyalkylene oxide such as poly(ethylene glycol) or a polyalkylene oxide block copolymer. The sutures entrap (e.g., encapsulate) one or more therapeutic, prophylactic or diagnostic agents and provide prolonged release over a period of at least a week, preferably a month.