In addition to a first detector for capturing a potential movement field of the eye in overview images, a second detector is used to capture a particular section of the eye in sectional images. From a displacement between two overview images and an intermediate displacement between two sectional images taken between said overview images, the eye movement is determined by linking said displacements. The sections are preferably illuminated by coherent light such that interfering light diffused on the eye produces a patch pattern. Alternatively, the sclera of the eye is illuminated with coherent light such that light diffused on the sclera produces a patch pattern, of which a particular part is captured using a spatially resolving detector in sectional images, on the basis of which an intermediate displacement is determined.