A magnetic sensor (MS) for sensing a magnetic stray field (SF) generated by magnetizable object (SPB) when magnetized and for generating an electrical object signal (U.sub.OB) which depends on the sensed magnetic stray field (SF), comprising a magnetic field generator (WR.sub.1, WR.sub.2) for generating a magnetic main field (H) for magnetizing the magnetizable object (SPB), and cross-talk reduction means for reducing the effect of a cross talk signal component in the electrical object signal (U.sub.OB) caused by magnetic cross-talk between the magnetic main field (H) and the magnetic stray field (SF), wherein the cross-talk reduction means is arranged for distinguishing a signal property between the cross-talk signal component and the remaining part of the electrical object signal (U.sub.OB) and for generating an electrical output signal (U.sub.o).