A dome- or sphere-shaped multipurpose building is disclosed, which is a prefabricated quickly erected structure and can be used for erecting the buildings of various functional purpose, of different number of floors, both heated and unheated, including residential buildings, cottages, industrial, administrative, sport, temporary portable buildings, arch structure. Technical result of the claimed invention is to reduce the material consumption, installation time, increase the strength and stability of the building, including under conditions of asymmetrical and dynamic loads, and to increase energy efficiency and translucence of the building. The multipurpose dome-shaped building comprises a bearing frame made in the form of at least three pyramidal volumetric trusses arranged symmetrically with respect to the base center and rigidly connected to each other in the upper part by at least one horizontal beam, and wherein the volumetric trusses are arranged in such a way that the horizontal distance between closest posts of neighboring volumetric trusses remains the same over the entire height from the base and up to the top of the neighboring trusses.