Now is the time for hydrogen, it is a new vector of energy independence, which is available to decarbonize several sectors of the world economy. Unfortunately, Hydrogen is only rarely present by electrolysis of water, which is an electrolytic process that, breaks down water (H2O) into di oxygen and hydrogen gas, using an electric current offered by a conventional or a renewable energy source. In fact, thanks to a water electrolyzer and a fuel cell, it is possible to switch from electricity to hydrogen and vice versa, without emitting any pollutant in situ. Beyond the obvious priority goals, such as reliability and lifespan, it can be difficult to predict how fuel cells will be used in the future. Several researches treated this phenomenon, and treated the Fuel cell. In this paper, we illustrate a modeling of an Exchanged Proton Membrane Fuel Cell (PEMFC), using Matlab/Simulink. This modeling will highlight the influence of different parameters on the efficiency of the PEMFC and the electricity produced.