An implant for use in the treatment of glaucoma is disclosed wherein the implant comprises an elastomeric plate having a non-valved elastomeric drainage tube attached thereto. The plate is elliptical in shape and curved so as to conform to the curvature of the eye. At least one hole is made in the plate to facilitate the formation of a tethered scar tissue bubble, referred to a bleb, to form around the carrier plate. The scar tissue will grow through the hole or holes and pull the perimeter of the bubble towards the carrier plate at the hole locations to tether the formation of the bleb to the carrier plate and finally to the sclera tissue. The plate is inserted into the eye in an incision made in the Tenon's capsule and sutured to the sclera. The drainage tube is tunnelled through the Tenon's capsule and cornea and inserted into the anterior chamber, thus providing patent fluid communication between the anterior chamber and the elastomeric plate. The flexible structure of the plate allows the plate to be easily inserted, thus reducing the surgical procedure length. In addition, the pliable material minimizes the risk of damage and trauma to surrounding tissues in the insertion process.