A semiconductor device which has a semiconductor body and a method for producing it. At the semiconductor body, a first electrode which is electrically connected to a first near-surface zone of the semiconductor body and a second electrode which is electrically connected to a second zone of the semiconductor body are arranged. A drift section is arranged between the first and the second electrode. In the drift section, a coupling structure is provided for at least one field plate arranged in the drift section. The coupling structure has a floating first area doped complementarily to the drift section and a second area arranged in the first area. The second area forms a locally limited punch-through effect or an ohmic contact to the drift section, and the field plate is electrically connected at least to the second area.