In the process of compacting the porous products of combustion with the SHS- extrusion (extrusion with the use of the self-propagating high-temperature synthesis) the second viscosity of material is reduced due to the growth in the time of the deformation rate and increases due to reduction in the porosity. As a result competitory interaction of these two factors the dependence of the extrusion speed on the transfer plunger pressure for fixed moments of time can have the nonmonotonic nature: at the initial stage of compacting due to the first factor occurs the growth of the velocity of plunger (at a constant pressure), and the decrease of this speed at the final stage of the compacting. In the present work are carried out experimental and theoretical studies of this phenomenon with the SHS- extrusion of cermet materials based on the example of the initial composition TiO2+C+B+Al+Zr. It is established that the dependence of the speed of transfer plunger on the pressure for fixed moments of time applied to it has nonmonotonic nature. The straight comparison of numerical and experimental data showed the possibility of using the rheodynamic model for predicting the results of experiment proposed.