The paper describes modeling the process of consolidation and deformation in a capsule of the SAP-1 powder material for various types of extrusion. We have investigated the influence of the extrusion coefficient and the matrix coning angle on consolidation of powder procurements. It is established that the change of the extrusion coefficient has a considerably greater influence on the sample consolidation process, than the change of the matrix coning angle. Based on the results of mathematical modeling, we have determined the technological parameters for the process of hot extrusion of the SAP-1 powder composite material in a capsule and substantiated the technological parameters of the hot extrusion process providing consolidation of the powder sample to an almost pore-free condition with minimum necessary effort of the press are proved.