The invention describes a method for generating corona discharges in two combustion chambers of a combustion engine, into each of which a high-frequency igniter (HFZ3, HFZ4) protrudes which is part of a high-frequency resonant circuit, by providing only one single transformer (TR4), which has a primary side and a secondary side, at least one primary winding on the primary side and a secondary winding on the secondary side, connecting the secondary winding of the transformer (TR3, TR4) to both resonant circuits and feeding into both resonant circuits the high frequency alternate current flowing through the secondary winding.