The fiber-optic sensor head (2) for a current or magnetic field sensor comprises an optical fiber which contains a magnetooptically active sensor fiber (3) and at least one polarization-maintaining supply fiber (5), which are optically connected, with the sensor fiber (3) having its fiber protective sheath removed. The sensor head (2) furthermore contains a capillary (6), in which at least the sensor fiber (3) is arranged. Furthermore, the sensor head (2) can be bent in the area of the sensor fiber (3), and a friction reducing means (7) is provided in the capillary (6), in order to reduce the friction between the sensor fiber (3) and the capillary (6). The friction reducing means (7) is advantageously an oil or a dry lubricating means (7). The capillary (6) is advantageously encased by a capillary casing (8). The sensor (2) allows very largely temperature-dependent measurements, is easy to install and allows measurements on large cross-section conductors.