Method for igniting a fuel/air mixture in a cyclically operating internal combustion engine comprising combustion chambers which are delimited by walls that are at ground potential, using an ignition device comprising an ignition electrode provided in each combustion chamber, in which method, via an electrical DC/AC converter, an electric oscillating circuit is excited, which is connected to the secondary side of the DC/AC converter, and in which the ignition electrode, which is guided through one of the walls delimiting the combustion chamber in a manner in which it is electrically insulated from said walls by an insulator and extends into the combustion chamber, constitutes a capacitance in cooperation with the walls of the combustion chamber that are at ground potential, and in which the excitation of the oscillating circuit is controlled so a corona discharge igniting the fuel/air mixture is created in each combustion chamber at the ignition electrode.