An image fixing device inductively injects thermal energy into a rotating printing form of a press for fixing an image formed on the rotating printing form by means of a digital imaging system. The fixing device has at least one inductor with at least one induction loop, a high-frequency part that forms a tuned circuit with the inductor, and a supply part that can be coupled to the inductor by means of supply lines suitable for high frequency. The inductor loop is in an elongated form aligned parallel to the circumferential direction of the rotating printing form, with the effect that the zone of energy transfer and therefore the heating zone can be configured specifically in terms of its spread in the printing form, so that a high flux density can be introduced zonally into the printing form at the point which is to be heated.