Concentrating solar power (CSP) plants require suitable thermal energy storage (TES) systems to enable power generation during the night and cloudy days. Metal hydrides (MH) are attractive options for such TES system and a novel design of an MH-TES system is proposed for CSP plants. A 2D mathematical model is developed to study heat and mass transfer inside this system in which a heat storage medium of high-temperature MH bed (Mg₂FeH₆) is coupled with a low-temperature MH bed (Na₃AlH₆). To simulate this model a numerical code in Fortran-90 is made. The main objective of this work is (i) to demonstrate the technical feasibility of the novel MH-TES system through the simulation of operating cycles, and (ii) to discuss the performance assessment of the proposed system. The process simulation demonstrated a consistent thermal and dynamic coupling between the paired MH beds. The performance analysis showed that the present MH-TES system can recover 96% of solar energy stored. Further, for the given operating conditions, the thermal energy storage density of this system is about 90 kWh_th/m³, which is more than 3.6 times the U.S. Department of Energy SunShot target of 25 kWh_th/m³.