Surgical methods and related medical devices for treating glaucoma aredisclosed. The method comprises trabecular bypass surgery, which involvebypassing diseased trabecular meshwork with the use of a seton implant. Theseton implant is used to prevent a healing process known as filling in, whichhas a tendency to close surgically created openings in the trabecularmeshwork. The surgical method and novel implant are addressed to thetrabecular meshwork, which is a major site of resistance to outflow inglaucoma. In addition to bypassing the diseased trabecular meshwork at thelevel of the trabecular meshwork, existing outflow pathways are also used orrestored. The seton implant is positioned through the trabecular meshwork sothat an inlet end of the seton implant is exposed to the anterior chamber ofthe eye and an outlet end is positioned into fluid collection channels atabout an exterior surface of the trabecular meshwork or up to the level ofaqueous veins.