A corneal rivet for passing internally through the cornea and for providing closure of an incision in the cornea with a mechanically and optically configured rivet body including a first rivet head secured at one end thereto and a second member for securing to the other end of the rivet. The securing can either be through frictional engagement of the second member to the rivet body, through a knotting, a crimping, staking, threading, pinning, heat forming a ball or mushroom member, or a ratcheting engagement. The corneal rivet body can be utilized to suture other tissues besides the cornea, such as sclera, iris, other ocular tissues, skin, flesh, or the like.