A stack of cells of a fuel cell with a proton exchange membrane in which each of the cells comprises an anode plate and a cathode plate, holding in sandwich fashion a Membrane Electrode Assembly, each plate having two opposite faces, respectively a reactive face and a cooling face, the reactive face of each plate being intended to face the Membrane Electrode Assembly and being provided with relief points and hollows forming at least one channel for the circulation of a reagent, the cooling face defining a path for a cooling fluid of the cell, the at least one channel for circulation of a reagent having an inlet communicating with an orifice for distribution of reagent, formed through the plate, the plate furthermore comprising a reagent inlet collector orifice which is distinct from the reagent distribution orifice, the reagent inlet collector orifice being provided to supply reagent to the inlet of the channel via a passage located on the cooling face and producing a fluidic connection between the inlet collector orifice and the reagent distribution orifice, each plate having a peripheral seal disposed on the reactive face and comprising a portion forming a loop around the inlet collector orifice, characterized in that, at a first of its two ends, the stack is terminated by a first anode or respectively cathode end plate, disposed on the cathode or respectively anode end plate, of the last cell of the stack, said first end plate delimiting a circuit for the cooling fluid of the last cell, and in that this first end plate is a plate identical to the anode or respectively cathode plates of the cells, except that it does not have a distribution orifice.