The aim of this work is to design and analyze the structure of a chassis of a sports car. The chassis structure is fundamental in design efficiency, for in it are fixed mechanical parts that make up the steering system, suspension, and traction, among others. The chassis geometry was designed in SolidWorks 3D CAD program and the numerical analysis was performed using the Finite Element Method (FEM) with FEMAP program. The chassis was designed using average surfaces in order to use the formulation of shell elements on analysis with finite element method. Using this methodology was possible to realize static and dynamic analysis to check how the structure will behave when subjected to static and dynamic loads during travel the vehicle. The analysis allows to estimate the magnitude and the form that loads acted on the chassis frame. Thus, one can determine the points of least resistance and alter the geometry to eliminate critical points. The results were used to evaluate the project with respect to their suitability the norms used to verify security, and if the structure is suitable for a sports vehicle with tubular chassis. The results were a torsional rigidity 1639 Nm / °, meeting the standards of a ladder frame type according to the Standard Fiat, Torino, 2002. The vibration frequency modules obtained in the analysis was 34.4 Hz for the first module and 41.5 Hz for the second module.