This paper presents a new approach to improve the overall efficiency of the Hydrogen Storage System (HSS). Indeed, the amount of hydrogen produced is strongly influenced by the value of the DC-voltage value, since the operating stack voltage increase with electrolyzer's current increasing. Subsequently, increasing of the DC-voltage value allows electrolyzer to absorb much more current, which increasing the performance of the water electrolysis process. Fuzzy logic techniques, which are known as a good tool for nonlinear systems applications such as electrolyzers, are used to regulate the surplus power sent to the electrolyzer where an experimental data are used. Afterwards, a new sizing method of a HSS to increase a hydrogen production, and then increasing the overall efficiency is presented and analyzed. In order to achieve the optimum cost effective of the proposed solution, its performances are analyzed by simulation over one month profiles data. The simulation results which are carried out using Matlab/Simulink environment have highlighted the effectiveness and the increasing the efficiency of HSS.