The invention relates to a fastening apparatus for fastening a measuring sensor, such as a tire pressure sensor, within a tire cavity on a vehicle rim, having a band-shaped tensioning belt which has a receiving device for the measuring sensor; wherein the band-shaped tensioning belt comprises an elastic material. The fastening apparatus according to the invention is characterized in that the band-shaped tensioning belt is provided in the form of a continuous endless belt, which is closed on its circumference and is only elastic in sections.