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