An analysis of the dynamic load - carrying capacity of rectangular reinforced concrete deep beam considering the physical nonlinearities of structural materials: concrete and reinforcing steel, is the aim of the paper. The model of the elastic/visco-perfectly plastic material including dynamic yield criterion was applied for the reinforcing steel. The non-standard model of dynamic deformation, regarding the dynamic strength criterion and material softening was applied for the concrete. The method for description of deformation parameters of high strength concrete was included in the model. The method of structure effort analysis was developed using the finite element method. The comparative analyses of the obtained results for three different values of high strengths of concrete and one value of high yield stress for reinforcing steel were carried out in relation to the numerical results obtained for ordinary concrete and steel in case of dynamic loading. In these cases, the significant differences in behavior of reinforced concrete deep beams have been observed and described in detail. The effectiveness of the method analysis and computational algorithms for the problems of numerical simulation of reinforced concrete deep beam dynamic behavior was indicated in the paper.