An apparatus for LASIK is equipped with the following:a first laser radiation source for generating first laser radiation pulsesfirst means for guiding and shaping the first laser radiation pulsesa second laser radiation source for generating second laser radiation pulsessecond means for guiding and shaping the second laser radiation pulsesa controller with: a first treatment program for controlling the first means and the first laser radiation pulses for the purpose of producing an incision in the cornea, the first treatment program generating regular corneal surface structuresa second treatment program for controlling the second means and the second laser radiation pulses for the purpose of reshaping the cornea and changing its imaging properties anda third treatment program which controls the second means and the second laser radiation pulses for the purpose of removing the aforementioned regular structures.