Abstract: The method for the operation of fuel cell battery (10) comprises a control system (14), through which the electrochemical reactions in cells (11) of the battery are influenced. Gaseous flows (1, 2) of two educts (A, B) are fed into the battery in a controlled manner in a conditionally predetermined ratio of quantities and are passed through the cells separately. The first educt (A) contains oxidizing components, the second educt (B) contains reducing components and the first educt is in particular ambient air. The educt flows (1, 2) are united after passage through the cells and are further treated by means of an afterburning process and with the production of a flow (3) of exhaust gas (C), so that at the conditionally predetermined ratio of quantities the reducing components are completely oxidized. The first educt flow, in particular the air flow, is variable through the control system to a limited extent; it is used for a regulation of the reaction temperature.