An apparatus for treating an eye with laser radiation exhibits the following:a laserradiation source (12) for generating laser radiation (14), means (20, 24, 40,42, 44)for directing the laser radiation (14) onto the eye (10) for the purpose of anophthalmological intervention on or in the eye, a controller (50) forcontrolling the laserradiation (14) in space and time in relation to the eye (10) in accordancewith atreatment program (52) which is oriented towards a centre (Z) of the eye, acamera(46) which records a feature of the eye (10), and an image-processing unit(50a)which derives information about the centre (Z) of the eye (10) from therecording ofthe camera and enters this information into the controller (50), as a resultof whichthe controller (50) controls the laser radiation (14, 14') in accordance withthetreatment program and in a manner depending on the centre of the eye derivedin stepe).