A method for relieving pressure within the eye in the treatment of
glaucoma comprising inserting an extremely thin flat trans-corneal drainage shunt, having no detrimental cap or
footplate, within a self-sealing incision made by a keratome knife within the
cornea at the limbus, the drainage shunt having extremely small pores formed therein for the controlled transport of aqueous fluid from an anterior portion of the eye to the tear film on the surface of the eye while deterring
bacteria from entering the eye, and fixing the position of the trans-corneal shunt in position within the
cornea by means of a suture. The shunt can be tapered for preventing an unacceptable degree of intrusion of the shunt into the anterior portion of the eye. The
trailing edge portion of the shunt is wide relative to other portions of the shunt, thereby facilitating grasping of the shunt when desired.