The invention relates to a high-temperature superconductor (HTS) magnet system, preferably for an insertion device for generation of high-intensity synchrotron radiation, consisting of the coil body (6), on the mantle surface of which poles with windings that lie between them are disposed, wherein at least one high-temperature superconductor strip (23) is wound onto the coil body (6) in one direction, and adjacent winding packages or sections are electrically connected with one another in such a manner that the current flow runs in opposite directions, in each instance. The solution according to the invention has the advantage of a simplified winding process, whereby individual coil pairs can be replaced, if necessary, by means of the modular arrangement. The scheme can be applied to every possible configuration of an insertion device, and is therefore also suitable for use in so-called free electron lasers and other light sources based on particle accelerators. Furthermore, complicated cooling is eliminated, so that safety problems caused by lack of cooling cannot occur.