A measuring head of a pneumatic measuring device for measuring a workpiece has a base element in which a first flow channel is provided for connecting a compressed air source to a measuring nozzle. The first flow channel has a constricted area with at least one cross-sectional constriction. The measuring head also has one or more second flow channels for connecting the constricted area to a measuring transducer. The base element has a divided configuration in the axial direction. The divided configuration may be provided at least in the constricted area of the first flow channel.