Abstract: A Sensor for non-contact torque measurement on a shaft and a soft-magnetic, magnetostrictive measurement layer, especially for such a sensor. The sensor contains a measurement layer support having a soft-magnetic and magnetostrictive measurement layer which is a tubular shaft intermediate piece, as well as a measurement coil support having a measurement coil which is opposite the measurement layer. The measurement coil support is fixable on a holder without being supported on the measurement layer support, and that end region of the measurement layer support which faces away from the shaft is essentially in the form of a disc and is constructed such that it extends essentially at right angles to the shaft axis when the measurement layer support is fitted. This sensor, which can be fitted and removed easily, has a short axial structural length.