NOVELTY - A plate cooler module for a fuel cell stack with cathode and anode side pole plates (7a, 7b) whose faces (in direct electrical contact) form cooling surfaces enclosing a coolant distribution structure consisting of ducts (19) and surrounded by a seal (21), the pole plates being bonded together with adhesive applied to the cooling surface(s) outside the seal (21).    USE - Plate cooler module for a fuel cell stack.    ADVANTAGE - A plate cooler module with cooling surfaces in electrical contact with one another, in which the pole plates are held together with an adhesive which does not have to meet any special requirements as to electrical conductivity and which is prevented from coming into contact with the coolant.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is also included for a method for assembling a fuel cell stack by:    (a) preparing the required numbers of pole plates (7a, 7b), seals (18, 21), membrane electrode units (MEA) (5, 5) and any other components;    (b) placing the seals (21) between the cooling surfaces of the pole plates;    (c) making modules by sticking the cooling surfaces of the pole plates together with an adhesive applied outside the seal (21) as above;    (d) stacking plate cooler modules and MEAs alternately, with the anode of an MEA on the anode of a module and the cathode of an MEA on the cathode of a module and with a tight seal at the interfaces between MEAs and pole plates;    (e) attaching current collectors to the first and last MEAs;    (f) attaching external medium supply/discharge lines if there are no internal lines; and    (g) bracing the stack between end plates.    DESCRIPTION OF DRAWING(S) - The diagram shows the cooling surface of a pole plate with a coolant distribution structure.    Cathode side pole plate (7a)    Internal manifolding for fuel and oxidising agent (8,9,10,11)    Coolant channels separated by lands (19,20)    Seal (21)    Groove for seal (22a)    Inlet and outlet holes for coolant (23,24)    Adhesive spots (25)