The paper discusses the material compaction process under various types of stress conditions based on the simulation of the multiaxial compression process of powdered titanium sponge. The finite element model of the multiaxial compression process made it possible to apply both radial and axial pressure independently from one another. Titanium sponge subjected to reversible thermo-hydrogen processing was used as the research material. For the description of the material plasticity condition, the modified Drucker-Prager Cap plasticity model was used, implemented in Abaqus.