A probe head for a coordinate measuring machine has a stylus resiliently suspended in a housing. A sensor arrangement serves for detecting deflections of the stylus relative to the housing. The sensor arrangement comprises at least one Hall sensor having a magnet and a Hall element arranged in a vicinity to each other. When the stylus is deflected, the magnet is laterally passed by the Hall element in a direction defined from the North Pole to the South Pole of the magnet or vice versa. A Hall voltage of changing polarity can be tapped at the Hall element then. A preferably linear range around the polarity change is processed in order to determine the deflection of the stylus.