To assess the behavior of the structure, within this Master thesis, nonlinear analyzes were performed on the example of a multi-storey RC frame structure, namely modal analysis, static analysis by incremental horozintal load (Pushover) and dynamic analysis with time history records (Time-history). The nonlinearity of the numerical model is shown through the material nonlinearity of concrete with recycled rubber aggregate, where the basic model was without recycled rubber aggregate. For simulation of the concrete behavior trilinear model based on the experimental results was used. Those results were obtained by testing concrete samples of five different concrete mixes in which the portion of recycled rubber aggregate gradually increased. In the Pushover method, the 3D model of the structure was loaded with a continuous load on each floor and incremental load, while for the Time-history method it was loaded with a continuous load on each floor and with 7 earthquake records defined by the spectrum response based on maximum ground acceleration of 0.3g. The results of the performed analyzes are presented in the form of load capacity curves, time displacements histories, hysteresis curves and maximum drifts of the structure. Comparing the obtained results, it was concluded that the addition of rubber in concrete as a replacement a certain proportion of natural aggregate has a positive effect on the structure behaviour in the sense that it allows greater displacements with less permanent deformation under horizontal force, as the force decreases, the displacement also decreases, which favorably affects behavior of the structure because smaller displacements ensure greater rigidity of the structure, its mass, compressive strength and modulus of elasticity are reduced, and porosity and ductility are increased.