There is an image filtration using an Ateb-Gabor method realized. Filtration in the frequency area requires implementation of such changes sequence: discrete two-dimensional image transformation from spatial area to the frequency area. Filtration makes it possible to realize more combinations of filtering and conduct more qualitative transformation. Proposed method allows to expend a Gabor filter performance because it contains much more combinations. There was an Ateb-Gabor filtration provided to the one case of images and to the one periodic Ateb-function.