Along the past forty years, an increasing interest on composite materials formed by the addition of discrete fibers to a concrete matrix is being observed. These composites are known as fiber reinforced concretes. The interest on the use of fibers as reinforcement is justified by their significative contribution to concrete thoughness, as they reduce the brittle characteristics of that material. In fact, due to fiber reinforcement mechanism, fiber reinforced concrete can absorb much more strain energy until failure, in comparison to ordinary concrete. The cracking process seems to be more uniform, as the distance between cracks are reduced. Besides that, the material strength and the deformation levels at cracking and rupture are greater, on the case of fiber reinforced concrete. The benefits that fibers bring to concrete behavior indicate that they could be used as complementary reinforcent for concrete structures when ductility is a major design concern, or when high strength concrete is employed, as this class of material tends to be much more brittle then normal strength concrete. Fibers are also effective as shear reinforcement, and they could even replace stirrups in this function. In this work, a constituive model for fiber reinforced concrete is presented. This model is based on the formulation originally proposed by ELWI AND MURRAY (1979) for the case of ordinary concrete. The behavior characteristcs of fiber reinforced concrete are incorporated as adaquated uniaxial stress-strain relations in tension and compression. The behavior under shear stress is also considered. The model is then implemented in the finite element program FEPARCS (ELWI AND MURRAY, 1980). A numerical analysis on the response of a fiber reinforced concrete structure is conducted. Results reported in technical literature (CRAIG, 1987) are compared to those obtained by the finite element analysis. The efficiency of the model is then verified.