Abstract <p>This work is devoted to the study of the process of obtaining materials and products based on zirconium oxide stabilized by yttrium oxide ZrO₂–<i>x</i>Y₂O₃–MgO–TiB₂, where <i>x</i> ∈ [0; 9] mol % by the free SHS compression method. In the work, the influence of the process parameters of free SHS compression, namely, the delay time before applying pressure, the rate of deformation of the material and the pressing pressure on the compaction process of the selected objects of study was studied. It was found that there are optimal ranges of the listed process parameters, within which the studied materials have the greatest ability for plastic deformation. In addition, the work shows the influence of the stabilizing additive Y₂O₃ on the process of free SHS compression of the selected objects of study. It was found that the introduction of the stabilizing additive due to an increase in the temperature and combustion rate leads to an increase in the degree of deformation of the studied materials. In addition, the work shows that high-temperature shear deformation of the studied materials promotes the formation of a tetragonal modification of zirconium dioxide in the synthesis products. While in the materials obtained under self-propagating high-temperature synthesis (SHS) conditions without applying pressure, monoclinic, tetragonal and cubic modifications of ZrO₂ were observed. It was also found that as a result of free SHS compression, the formation of a texture in the direction perpendicular to the pressure application axis is observed in the structure of the compacted synthesis products.</p>