The invention relates generally to medical devices and methods for reducing the intraocular pressure in an animal eye and, more particularly, to stent type devices for permitting aqueous outflow from the eye's anterior chamber and associated methods thereof for the treatment of glaucoma. Some aspects provide a self-trephining glaucoma stent and methods thereof which advantageously allow for a “one-step” procedure in which the incision and placement of the stent are accomplished by a single device and operation. This desirably allows for a faster, safer, and less expensive surgical procedure.