In this work, a hologram optical element is proposed for optical-electronic angle measuring devices and sighting systems, which is a combination of four three-dimensional diffraction gratings registered in the volume of a photosensitive medium. The method of measuring the angular displacement and sighting of objects is based on the properties of changing the intensity of the information light signal of volumetric hologram optical elements, in accordance with the modulating effect of the object under study. The sensitivity of the proposed device for the measurement range of ±150 ang. min was 5 ang.s. In sighting mode with a range of 3 ang. min. the sensitivity was 0.1 ang. s.