A high-frequency generator for high-frequency surgery comprises a power generator for supplying high frequency energy at a base frequency. A standardizing factor is determined, with which an output variable from the power generator must be scaled in order to attain a given desired value. Furthermore, harmonics of the base frequency are determined from the output variable and scaled using this factor. By means of an input, the thus obtained signal now controls the output power of the generator. With this arrangement, a reliable first cut may be performed on various kinds of tissue without occurrence of any coagulation.