The present work is concerned with the modeling of the low-cycle fatigue of elasto-viscoplastic bars. The proposed unidimensional model is developed in the framework of the Continuum Damage Mechanics and takes into account the influence of many complex pehnomena (such as the history of plastic deformation, the viscosity and the cyclic hardening induced by the cumulated plastic doformation) in the life of the structure. The resulting governing equations form a nonlinear system of ordinary differential equations and, for a given set of initial conditions, the solution is approximated by using a fourth order predictor-corrector finite difference schme with variable time steps. The proposed model is checked by analysing the life of a 316L stainless steel bar subjected to non monotonic loadings at room temperature (20 degress Celsius). For cyclic stress loadings with constant amplitude and zero men stress, the computed lifes are in very good agreement to those obtained by the classical E – N method. One of the main features of the proposed model is that it can be easily extended to a tridimensional context, what is not an easy task in the case of the classical methods. So, in the future, this continuum damage model may be used as an reasonably simple tool in the sesign of mechanical structures making them more safer and reliable.