A pre-chamber system for an internal combustion engine, in particular for a gas engine, includes a pre-chamber volume in which an ignitable fuel-air mixture can be fired by an ignition device which can be arranged at the pre-chamber system. The pre-chamber system has a flow transfer passage by which the pre-chamber volume can be connected to a main combustion chamber of the internal combustion engine. The pre-chamber volume includes an ignition region and a flow transfer region which is at least portion-wise delimited from the ignition region by an intermediate wall. The fuel-air mixture can be fired in the ignition region, and the flow transfer passage opens into the flow transfer region and there is provided an air feed passage. Preferably compressed air can be fed to the flow transfer region by way of the air feed passage.