[en] The method of production of quasimonochromatic γ-quanta, based on the properties of compton dispersion of photons, is suggested. The spectrometric aspect of the method is less important than in other means of γ-quanta monochromatization. The calculation of the main performances of the monochromator is presented: γ-quanta yields, energy resolution and the level of accidental coincidence background. The suggested monochromator provides rather good energy resolution for the study of the nuclei excited states in the region of gigantic dipole resonance, and provides to obtain a high level of the static accuracy during the smaller period of time, than at the operation with the brake spectrum. The monochromator is to be applied in γ-beams of modern heavy-current synchrotrons