A method for high-resolution luminescence microscopy of a sample that is labelled with label molecules that can be activated in such a way that they are first activated so they can be excited to emit particular luminescence radiation, wherein the method comprises the following steps: a) activation and excitation of a subset of the label molecules present in the sample to emit luminescence radiation, wherein in the sample at least some of the luminescing label molecules have a distance to their closest neighbouring luminescing label molecules that is at least greater than or equal to a length which results from a predetermined optical resolution, b) recording an image of the sample with luminescing label molecules along a depth direction and with the predetermined optical resolution, wherein the steps a) and b) are carried out repeatedly, and c) generation of individual images from the images from step b), wherein in the individual images the geometric locations of the luminescing label molecules are identified with a spatial resolution increased above the predetermined optical resolution, wherein for the high resolution along the depth direction d) the activation and/or excitation in the steps a) is performed with a radiation that is introduced into at least two regions, wherein - the regions (30, 31) extend respectively along a plane (39, 40) that lies substantially perpendicular to the depth direction, - the regions (30, 31) have a predetermined extent in the depth direction, and - the regions (30, 31) are arranged so that seen in the depth direction they lie behind one another and only partly overlap, and e) in the steps b) separate images of the sample are recorded during activation and/or excitation of each of the regions (30, 31) in order to be able to obtain from the separate images a depth information of the luminescing label molecules, wherein those luminescing label molecules are filtered out that appear in both separate images. a) activation and excitation of a subset of the label molecules present in the sample to emit luminescence radiation, wherein in the sample at least some of the luminescing label molecules have a distance to their closest neighbouring luminescing label molecules that is at least greater than or equal to a length which results from a predetermined optical resolution, b) recording an image of the sample with luminescing label molecules along a depth direction and with the predetermined optical resolution, wherein the steps a) and b) are carried out repeatedly, and c) generation of individual images from the images from step b), wherein in the individual images the geometric locations of the luminescing label molecules are identified with a spatial resolution increased above the predetermined optical resolution, wherein for the high resolution along the depth direction d) the activation and/or excitation in the steps a) is performed with a radiation that is introduced into at least two regions, wherein - the regions (30, 31) extend respectively along a plane (39, 40) that lies substantially perpendicular to the depth direction, - the regions (30, 31) have a predetermined extent in the depth direction, and - the regions (30, 31) are arranged so that seen in the depth direction they lie behind one another and only partly overlap, and - the regions (30, 31) extend respectively along a plane (39, 40) that lies substantially perpendicular to the depth direction, - the regions (30, 31) have a predetermined extent in the depth direction, and - the regions (30, 31) are arranged so that seen in the depth direction they lie behind one another and only partly overlap, and e) in the steps b) separate images of the sample are recorded during activation and/or excitation of each of the regions (30, 31) in order to be able to obtain from the separate images a depth information of the luminescing label molecules, wherein those luminescing label molecules are filtered out that appear in both separate images.