The laser system for eye surgery comprises the eye surgical laser apparatus having optical components for providing pulsed focused laser radiation with radiation properties matched to the generation of photodisruptions in human eye tissue and with a control unit for positional control of the radiation focus of the laser radiation the control unit being designed for executing various control programs that represent various types of incision figure； and a set of interface devices each of the interface devices including a contact body that is transparent to the laser radiation with an abutment face for abutment against an eye to be treated and also a coupling portion for detachable coupling of the interface device onto a counter coupling portion of the laser apparatus the interface devices of the set differing by virtue of a differing optical effect on the laser radiation provided in the laser apparatus.
