This paper presents the possibility to apply numerical simulation in static analysis of reinforcedconcrete structure strengthened with carbon fibre reinforced polymer composite strips (CFRP).Reinforced concrete beams, with strengthening in form values CFRP made of carbon fibres andepoxy resin, featuring various width, as well as non-strengthened bent beams, were analysed. Thesimply supported beams arranged in a free support scheme were subjected to two concentratedforces within full range of loading (until collapse). The numerical analysis was performed throughapplication of the Finite Elements Method (FEM), and the calculation model applied took intoaccount the geometric and physical nonlinearity. The problem was solved by application of thequasi-staticstrategy method of calculations using ABAQUS software. While analysing the results,we focused on the run of changes in structure displacement and development of material damage,up to the point of destruction of the beam.