Abstract: Device for the removal of tissue from the cornea of an eye using a laser beam generator for the production of a laser beam, an optical device by which, during the removal of the tissue, the laser beam is directed onto the cornea to be treated, with an approximately circular beam cross section and a defined removal profile for the beam energy that is transferred to the corneal tissue to be removed, and a control device for controlling the optical device so that a removal profile is formed that, in the radial section starting out from the central beam axis 2 of the beam cross section, has an approximately spherical or concave course in an internal radial region 3 that changes into a point of inflection 4 and an outer radial region 5 that joins the point of inflection 4, with a convex or monotonic decreasing course.