The present invention relates to a laser system for eye surgery with an eye-surgical laser apparatus and with a set of interface devices. The invention further relates to the laser apparatus itself, to the set of interface devices itself, to the use of the set and also to a method for laser-surgical eye treatment. 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.