The vast majority of geotechnical works, such as some foundations, embankments and excavations, show a typical three-dimensional geometric configuration. However, depending on the complexity of obtaining solutions considering the aspects inherent to the three-dimensional deformation and stress, the analysis of these works have been performed by adopting common approaches and plane strain or axisymmetric. This dissertation presents a computational model based on displacement formulation of finite element method for simulation of mechanical problems of static equilibrium condition of geotechnical works in three dimensions. It highlights the problems of load capacity of shallow foundations and the simulation of embankment construction. The soil is considered as material non-linear elastic-plastic models and non-associated Mohr- Coulomb and modified Lade-Kim are adopted to represent their relationship stress-strain-resistance. The nonlinear solution strategies, both overall and in the Gauss point level, are presented and discussed. Examples of load capacity of shallow foundations are compared with the results of the theory of limit equilibrium and limit analysis showing good results. The effect of tension in the intermediate stress path is presented and discussed in the simulation examples of the construction of embankments.