A luminescence microscopy method includes a sample being used, which comprises a certain substance, wherein the certain substance can be converted repeatedly from a first state, in which it can be excited into emitting luminescence radiation, into a second state, in which it cannot be excited into emitting luminescence radiation. The substance present in the sample can be brought into the first state by irradiating switch radiation. The certain substance can be excited into emitting luminescence radiation by irradiating excitation radiation. The sample emitting luminescence radiation can be displayed. A high-resolution selection of sample regions extending perpendicularly to a sample surface is carried out by irradiating either the switch radiation or the excitation radiation as structured illumination of the sample. A high-resolution selection of the sample surface is carried out by irradiating the switch radiation and/or the excitation radiation as TIRF illumination of the sample.