The energy storage system is a key aspect for the development of clean cars. Many types of batteries used in automotive vehicles application. Li-ion batteries are mainly in hybrid and electric vehicles. These technologies have a high energy density and a long lifetime. However, the use of the latter with high stresses directly influence the lifetime of components. So, in this study, the Li-ion battery is associated with a supercapacitor to improve the characteristics of the power supply. This presentation deals with the development of a thermo-electrical and aging model of a hybrid energy storage system (HESS), taking into account the electrical and thermal behaviours. In this context, an electric-thermal model is associated with the aging model for both the battery and the supercapacitor to test the operation mode of the whole system. This model allows one to test and validate the developed management strategies. The obtained results show the good performance of the model and confirm the interest of the system.