This paper presents an experimental and numerical investigation of reinforced concrete beams strengthening by means of different combinations of externally bonded hybrid fabrics-reinforced polymer composite: Carbon and glass fabric–reinforced polymer composite and another fabric-reinforced polymer composite based on vegetable fiber it is the jute fiber. The objective of this study is the conjugation of the properties of each type of fiber fabric to increase the load capacity, rigidity, and ductility of reinforced concrete beams and obtaining a typical model of reinforcement beams, which provides both these three desired mechanical properties. Three control beams and 27 beams strengthened in flexural–shear with Carbon, glass, and jute fabric–reinforced polymer composite and hybrid fiber fabrics were conducted and tested under three points bending. The load–deflection response, ductility, and associated failure modes of the tested specimens have been recorded and analyzed. In addition to the experimental investigations, numerical simulation using ABAQUS was developed to predict the load–deflection response and the failure modes, the results were compared with the corresponding experimental results, a good correlation was obtained.