Method for enhancing the resolution of a microscope during the detection of an illuminated specimen and a microscope for carrying out the method, wherein in a first position, an illumination pattern is generated on the specimen, the resolution of which is preferably within the range of the attainable optical resolution of the microscope or higher, wherein a relative movement, preferably perpendicular to the direction of illumination, from a first into at least one second position of the illumination pattern on the specimen is generated at least once between the detection and the illumination pattern with a step width smaller than the resolution limit of the microscope and detection and storage of the detection signals take place both in the first and in the second position.