In recent years, the lack of energy and the emission of greenhouse gases has led the research community to devote time and effort; to develop solutions for the new generation of vehicles. In this context, modeling and numerical simulation bring real added value because they reduce the cost and time of development. This article deals with the modeling and performance analysis of a fuel cell-battery hybrid electric vehicle (FCHEV). The power supply system consists of a fuel cell as a primary source and a battery as a secondary one. The various topologies are analyzed, and the commands used to control the current and voltage of the DC bus are presented. The performance of the proposed FCHEV model is verified by numerical simulations for the Urban Dynamometer Driving Schedule (UDDS), using MATLAB Simulink, considering a rule-based energy management strategy. Finally, the results show the performance and efficiency of the drive system under different operating modes of the FCHEV over a complete cycle: acceleration, deceleration, battery charge during acceleration, and regenerative braking.