This work consists of the development of a model for numerical fracture simulation of concrete structures using the Finite Element Method and concepts of Fracture Mechanics applied to concrete.The most important characteristic of the simulation is the transition from the smeared to the discrete approach as the strain localizes in a certain region of the structure. With this method it is possible to take advantage of the main characteristics of the two approaches and, at the same time, eliminate some of their disadvantages.The simulation is supported by a pre-processor for automatic finite element mesh generation and by a sophisticated topology- based data structure that assures mesh consistency. The discrete crack is introduced into a plastic region selected by the program, and only this region is remeshed after crack propagation. All the process is monitored through the same user interface.The smeared analysis is developed through a non-associated plastic model which poses some numerical difficulties when tracing the behavior of the structure close to the peak and in the post-peak regime. A numerical solution is proposed to avoid these difficulties.