An apparatus for treating an eye with laser radiation exhibits the following: a laser radiation 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 an ophthalmological intervention on or in the eye, a controller (50) for controlling the laser radiation (14) in space and time in relation to the eye (10) in accordance with a treatment program (52) which is oriented towards a center (Z) of the eye, a camera (46) which records a feature of the eye (10), and an image-processing unit (50a) which derives information about the center (Z) of the eye (10) from the recording of the camera and enters this information into the controller (50), as a result of which the controller (50) controls the laser radiation (14, 14′) in accordance with the treatment program and in a manner depending on the center of the eye derived in step e).