This research focuses his study on the design of a suspension system for a BAJA SAE vehicle under the PARAMETERS SAE (Society of Automotive Engineers). This society organizes seventeen (17) student competitions in eight (8) design series between university students called as Collegiate Design Competitions and Collegiate Design Contests, which is included representative themes that apply to vehicles Formula SAE, Formula Hybrid, SAE Aero Design, BAJA SAE, and SAE Clean Snowmobile Challenge. This research article evaluates the types of suspension that are implemented in mini-baja vehicles, and which, in turn, complies with the regulations established by the SAE competition of the year 2020. The methodology used from the mechanical engineering and control design components, use mathematical equations that govern dynamic movement to evaluate the behavior of the suspension system that through a CAD system, achieves modeling in a real environment, evaluating factors such as material, part dimensions or system selection, which can affect its proper functioning. This research is intended to support future applications, where there are suspension systems that allow to absorb the irregularities of the terrain with loads, where it is transmitted in less proportion according to the structure of the vehicle improving the experience of handling and maneuverability required for this type of student competitions, meeting the parameters established by SAE.