The invention relates to a method for high-resolution luminescence microscopy of a specimen marked with marker molecules, and to a luminescence microscope for performing the method, wherein the marker molecules can be excited to emit luminescence radiation. The method for luminescence microscopy comprises the excitation and imaging of marker molecules and the transmission of a trigger time and a position of the specimen. An optical recording device images the marker molecules in a capture area and transmits data from the imaging to an image capture circuit. The recording device transmits a time for the imaging to a signal former as a trigger time; the trigger time is then transmitted to a data recorder. The data recorder generates a position of the specimen at the trigger time and transmits said position to the image capture circuit, which links the position of the specimen in the depth direction to the data of the imaging of a frame such that a three-dimensional tomographic image of the specimen can be created.