This invention provides a shunt for implantation between the anterior chamber of the eye and the epithelial-lined space through the frontal sinus bone of a patient for the treatment of glaucoma. The shunt includes a tube having a length sufficient to span the distance between the anterior chamber of the eye and the epithelial-lined space of the patient, the tube having an open anterior chamber end and a closed epithelial-lined space end, and a seal device associated with the tube between the anterior chamber and epithelial-lined space ends, for sealing a hole in the frontal sinus bone, and for anchoring the tube against movement from the frontal sinus bone. The shunt also includes a fluid pressure openable valve in the tube, located at or near the epithelial-lined space sinus end, allowing for controlled flow of aqueous humor through the tube when implanted. The invention also extends to a method of treating glaucoma in a patient by surgically implanting the shunt between the anterior chamber of the eye and the frontal sinus.