A device for machining the cornea of a human eye with focused pulsed laser radiation includes controllable components, a control computer for controlling these components and a control program for the control computer. The control program contains instructions that are designed to generate an incision figure in the cornea permitting the insertion of an intrastromal corneal ring implant. The incision figure includes a ring incision situated totally deep within the corneal tissue and an opening incision extending at right angles to the ring plane of the ring incision from the anterior surface of the cornea or from the posterior surface of the cornea as far as at least the ring incision. The ring incision exhibits, assigned to the opening incision, a radial—relative to the ring axis—widening zone in which the opening incision impinges on the ring incision.