The main goal of this work was to evaluate the failure resistance of a zirconia fixed partial denture of three elements screwed on implants by means of a finite element stress analysis and the determination of the fatigue strength of the structure. As a secondary objective, the stress distributions in the other components of the prosthesis were evaluated. In order to promote the stress analysis, two different models were generated, the first making use of prosthesis, implants and screws similar to those adopted in the dental clinic. A second model, used as control, adopted a simplified geometry. The masticatory loads were those presented usually in the literature and finite element analysis was performed making use of Ansys Workbench 14.5 program. The stress distribution results showed similarity in both models, with small variations related to the adopted geometries. The calculated stresses were smaller than the ultimate strength of the zirconia and titanium alloys. Concerning the fatigue life of the zirconia prosthesis an analytical model was adopted and estimated an infinite life for the component.