The use of metal hydrides is one of the hydrogen storage methods. In this research, the process of hydrogen desorption from metal hydride storages with high diameter and constant flow rate was investigated using numerical simulation. A two-dimensional model with finite volume method is applied for simulation of hydrogen desorption. Simulation results were compared with available experimental data and a good agreement was observed between them. In this study, a special design of metal hydride storage was investigated. This design allows the application of metal hydride beds with large diameter for a specific hydrogen outlet flow rate by using aluminum fins. The simulation results verified the heat transfer enhancement effect of aluminum fins and showed the storage diameter can even be increased to 60 cm by using this design. The comparison between the result of applying LaNi5 and C5 alloys revealed that the energy efficiency could be increased by using C5 alloys due to need of heating fluid with lower temperature. Moreover, the results showed that by increasing the outlet volumetric flow rate from 230 to 460 (Nlit/min), the storage diameter should be limited and therefore the smaller storage must be selected.