Fluid distribution plate (1) for a fuel cell assembly, comprising a first plate (11) made of an electrically conductive material impermeable to all the fluids used in a fuel cell assembly, said distribution plate having a useful section (S) which is the surface over which the gases used by the electrochemical reaction are distributed, said useful section (S) being bordered all around by a peripheral section (P), said first plate having a given thickness e1 in the peripheral section and a smaller thickness e2 in the useful section so as to form a recess from the side facing the outer face and so as to have a flat inner surface, a flexible graphite foil (11C) being applied against said first plate (11) over the entire surface of the recess, the visible face of the flexible graphite foil having a distribution channel (111) for one of the fluids, said network being formed completely in the graphite foil.