A method of suturing the lens capsule of the eye in the event of accidental rupture thereof or to create a valve and/or to close a capsulorhexis by laser-induced welding onto the capsule's surface of a flap of biocompatible biological tissue prepared so as to be optically absorbent at the wavelength of the laser being used for welding. The method is suitable for use in so-called Phaco-Ersatz or “lens refilling” ophthalmologic surgery. Welding is desirably performed using laser devices that comprise a laser generator and a fiberoptic system for conveying the laser beam, complete with an applicator handpiece suitable for use in welding the flaps onto the lens capsule in a liquid environment. The handpiece is shaped so as to exert moderate pressure on the tissues to be welded with the free end of the optic fiber.