The transplanted cornea attachment method in eye microsurgery and the implant for attaching transplanted corneas, both donor and artificial, without the use of sutures consisting in the cutting of a fragment of the donor tissue (2) and, subsequently, the incision of the corresponding fragment (1) in the recipient tissue (3) so that the donated fragment (2) and the recipient incision (1) have teeth that interlock with each other, and the circular incision (5) in the stroma of the donor and recipient corneal stroma which is less in diameter in the donor tissue and more in diameter in the recipient tissue wherein the fastening implant (4) is subsequently inserted.