SUMMARY Nowadays, the steel fibre reinforced concrete (SFRC) has been performing an important role in construction industry. SFRC results of mixing short and discontinuous steel fibres randomly distributed with traditional concrete. This material offers structural advantages mainly in post-crack state, because it provides higher flexural- tensile strength and ductile fracture. Some authors have researched the SFRC behaviour; defining mechanical properties and different behaviour models. However, few researchers consider the simulation of SFRC behaviour as their principal goal using finite element software. The main aim of this doctoral thesis is to propose a simple numerical model for simulating SFRC elements behaviour in pre and post cracking state using a commercial program. To achieve this goal, scientific literature review, related to SFRC behaviour models and its simulations, has been carried out. Besides, three stages have been established: experimental study, numerical study and analysis of the results obtained considering SFRC with different characteristics. On the experimental study different elements behaviour are analyzed (prismatic elements, round panel, and thin slabs). Prismatic elements and round panel tests correspond to American and European standards, while thin slab tests are proposed in this study. A finite element commercial software ANSYSŪ V11 has been employed in the numerical study to simulate the tested elements behaviour in the experimental study. The simulation of SFRC elements uses a specific finite element for fragile materials and modifies the failure surface parameters to consider fibres effect. The numerical study has three phases: Preliminary studies, Determination of influential parameters on the SFRC behaviour and Analysis of the main parameters. Materials properties of the initial concrete (HI) were considered in these phases. Finally, it is carried out an extrapolation to different SFRC, using the results obtained in the numerical study. Hence, it is possible to propose a simplified numerical model for simulating SFRC elements with different geometry, load conditions and mechanical properties, using only three parameters obtained from experimental tests: compressive strength (fc), tensile strength (ft) and residual tensile-strength of SFRC (fr), to define the failure surface material.