Hybrid Electric Vehicle (HEV) are the most promising alternatives to conventional Internal Combustion Engine Vehicle (ICEV) which satisfy increasing customer requirements such as fuel economy, ordinary road performance and drive-ability at minimum cost. This paper focusing on HEV performance of electrical system such as battery and electric motor drives. Mathematical models and simulation using MATLAB/SIMULINK is presented and implemented in a complete series–parallel HEV model from MATLAB/SIMULINK. Finally, simulation results are presented to demonstrate the effectiveness and applicability of the proposed system in the real-time implementation.