The invention is a surgical instrument (1) used in ophthalmology, which allows a penetrating or lamellar cornea transplant without the use of suture. It comprises a set of arc segments interconnected by a small diameter polypropylene wire (2), which goes through the internal body structure of each segment. The first arc segment (3), also called the segment guide, is an arc of 160-330 degrees with a circular cross-section and a rounded edge. The second arc segment (4), also called the main segment, is an arc of 270-360 degrees, and has a horizontal or oblique cross-section tangential to the surface of the cornea, or a circular cross-section. The third arc segment (5), also called the secondary segment, has a thickness or cross-section greater than that of the main segment.