A fuel cell battery comprises stacked cells, comprising a superposition of plates, called bipolar plates, between which assemblies comprising both an electrolytic membrane and an electrode on each side of the membrane are placed. The plates are provided, on their periphery, with apertures serving to deliver reactive gases, and with apertures serving to evacuate reaction products, the apertures of adjacent plates being aligned in order to form supply or evacuation manifolds that pass right through the stack of cells. The apertures of the manifolds are encircled by individual ring joints that are separated from one another and separate from the bipolar plates, certain joints forming sealing joints between the aperture and a cell, and other joints forming injectors for a fluid to be delivered to a cell or to be evacuated from a cell.