The method of control of two acousto-optic deflectors is considered in this work, which provided fast-acting scan of laser beam in space while filing constant-frequency signal on first deflector and linear frequency-modulated signal (LFM) on the second. The influence of parameters of LFM signal on instantaneous divergence diagram of diffracted beam is analyzed. Method of diagonal beam scan using two generators of LFM signals is proposed and researched, that allow forming laser rasters with specified divergence diagram while working with two-coordinate acousto-optic deflector. It’s shown that while using parathellurite acousto-optic deflectors with non-axial geometry of acousto-optic interaction and aperture 9 mm, it’s possible to control instantaneous divergence diagram of laser beam within from 40” to 3°. The recommendations on selecting parameters of controlling signals, providing realization of proposed method, are given.