An ignition device for igniting an air/fuel mixture in at least one combustion chamber, having an ignition system with electrodes for each combustion chamber, a high-voltage source for generating an electrical high-voltage impulse at an output of the high-voltage source, and a high-frequency voltage source for generating an electrical high-frequency alternating voltage, wherein m ignition systems (10i) are provided with the formula (I) (natural numbers without zero) and m≥2, wherein κ high-frequency voltage sources are provided with the formula (II), and κ