The paper presents the study of the stresses and the displacements that appear in different areas of the removable partial denture (RPD) with extracoronal attachments under occlusal loading, using FEA. The first step was to create the 3D model of a RPD with ball attachments in case of a class I Kennedy edentulous patient with all six anterior teeth as abutments. All materials were considered homogeneous, isotropic and having linear elasticity. There were assumed two types of constraints: in the first one the model is fixed under the action of the mastication forces; in the second one the rotational movement of the denture’s saddles in the sagittal plane was simulated, towards the edentulous ridge. In the first case, the 3D model and FEA were developed using Autodesk Inventor 2013 software. In the second case, the FEA was done using Autodesk Algor Simulation software. The loading of the model was symmetrically applied, considering the magnitude of the tangential and normal oral forces determined by Las Casas et al. These forces were applied to all the PM1, PM2, M1 and M2 pairs. Each loading case was analysed separately. The results of the two constrain situations are presented graphically, comparatively and show that the amount of the saddle displacement depends on the application area of the mastication force. Maximum displacement was computed at the application of the mastication forces on the M2 and decreases as the force is applied more mesial. The amount of the major connector’s deformation is very little influenced by the site of the force. The largest displacement of the denture was recorded at the distal end of the saddle, with values that depend on the site of the forces. The existence of the rotational movement of the denture’s free end saddles in the sagittal plane, towards the edentulous ridge, changes the values of accumulated stresses in denture during mastication and its Von Mises stress peaks. This analysis can be use to establish the principles of planning and designing the RPD with ball attachments having in mind to minimize the number of repairs caused by fractures of the components.