A gas exchange valve actuator for a valve-controlled internal combustion engine is equipped with a rotor, which is to be coupled to a valve member, and a stator, wherein the rotor has at least two stacks, which are arranged at a predetermined distance from one another, of superposed permanently magnetic bars, and the stator is formed, at least partially, from a soft-magnetic material and has at least two pairs of teeth with mutually opposed teeth, of which each pair of teeth receives one of the two stacks between them in each case, while forming an air gap, and wherein the stator has at least two magnetically conductive inner regions which are located between the two stacks and arranged at a predetermined distance from one another in the direction of movement of the rotor and which are at least partially surrounded, in each case, by an essentially hollow-cylindrical coil arrangement, the central longitudinal axis of which is oriented approximately transversely to the direction of movement of said rotor.