Surgical methods and related medical devices for treating glaucoma are disclosed. The method comprises trabecular bypass surgery, which involves bypassing diseased trabecular meshwork with the use of a stent implant. The stent implant is inserted into an opening created in the trabecular meshwork by a piercing member that is slidably advanceable through the lumen of the stent implant for supporting the implant insertion. The stent implant is positioned through the trabecular meshwork so that an inlet end of the stent implant is exposed to the anterior chamber of the eye and an outlet end is positioned into fluid collection channels at about an exterior surface of the trabecular meshwork or up to the level of aqueous veins.