Study relevance: During the period of industrial development of society, an intensive development of synthesized materials and products for mankind, the development of innovative technologies and technical means for the complex processing of man-made materials with various physical and mechanical characteristics (density, dispersion, water demand, ductility, etc.) becomes increasingly important [1, 2]. At that in industrialized countries, a great attention is paid to the development of promising resource-saving technologies for compacting technogenic polydisperse materials in various ways: by pressing, briquetting, extruding, vibrating, and vibration-centrifugal or pneumatic-mechanical granulation, etc. [3 - 7]. The establishment of general and specific regularities of compaction processes and the structural-deformation interaction of particles predetermines the directions of constructive and technological perfection of machines and units, as well as energy conservation in many ways. This is of particular importance during the complex processing and utilization of man-made powdered materials - MMPM (the dusting of drying and burning aggregates, the waste of chemical and woodworking, pulp and paper, agricultural-industrial complex and other industries) [8 - 12]. The specific features of MMPM: low bulk density, increased dispersion and moisture capacity, structure anisotropy, poor flow ability and increased adhesion, etc., largely determine the conditions for the compaction of materials, the energy consumption for molded body production, and the metal capacity of the equipment. Objective of the study : To study the process of viscous-plastic material movement through the channel of a spinneret with a variable cross-section and to establish the general tendency of material compaction process in the entire range of molding pressures (before the final production of molded bodies). Research methods : the construction of compression and kinetic curves of compaction. Thus the dynamics of material compaction process is set along the entire length of the spinneret channel. Research results : The basic equations are obtained characterizing the process of the viscous-plastic material movement through a spinneret channel with a variable cross-section: the equation of the axial pressure change along the length of a conical and a cylindrical part of the spinneret, respectively; The pressing equation that takes into account the physical-mechanical characteristics of the molded material. The analysis of the equations made it possible to establish a general character of material compaction process in the entire range of molding pressures (before the final production of the formed bodies). Based on theoretical and experimental studies, they developed patent-protected resource-saving aggregates for the processing and utilization of technogenic materials with various physical and mechanical properties. The units have advanced technological capabilities. They provide the improvement of product quality and productivity. Significance of the study: Theoretical and experimental studies, as well as design and technological developments, allowed creating resource-saving units for technogenic material compacting with a number of technological advantages. The materials of the article can be useful for the students engaged in scientific work at the level of diploma writing, namely: for bachelors, undergraduates, experts, young scientists - graduate students and doctoral students engaged in a similar scientific topic within the field of viscous-plastic material molding.