The invention relates to a stack of several electrochemical cells stacked on top of one another in a stacking direction. The stack comprises at least: a first electrochemical cell, a second electrochemical cell, and an intercalary plate. Each cell includes an upper frame housing a first electrode and a lower frame housing a second electrode, the first electrode and the second electrode being separated from one another by a membrane. The second electrode of the first electrochemical cell and the first electrode of the second electrochemical cell are separated by an intercalary plate. The stack includes an intercalary frame arranged on the periphery of the intercalary plate.