A device for machining the cornea (38) of a human eye (22) with focused pulsed laser radiation includes controllable components for setting the location of the radiation focus a control computer for controlling these components and also a control program for the control computer. The control program contains instructions that are designed to bring about upon execution by the control computer the generation of an incision figure (36) in the cornea permitting the insertion of an intrastromal corneal ring implant. The incision figure includes at least one ring incision (42) situated totally deep within the corneal tissue and also at least one opening incision (44) extending at right angles to the ring plane of the ring incision from the anterior surface (40) of the cornea or from the posterior surface of the cornea as far as at least the ring incision. The ring incision (42) exhibits assigned to the opening incision (44) a radial relative to the ring axis (46) widening zone (48) in which the opening incision (44) impinges on the ring incision (42).
