A fill-level measuring device for ascertaining and monitoring fill level of a medium located in the process space of a container by means of a microwave travel time measuring method. The device comprises a measurement transmitter and an antenna unit, which is constructed at least of a hollow conductor and a radiating element A microwave transmissive, process isolating element is inserted for process isolation into the hollow conductor between the measurement transmitter and the horn shaped radiating element contacting the process space. The process isolating element is embodied as a hollow body having at least one tubular hollow body region matched to the shape of the hollow conductor, and a pointed hollow body region neighboring the hollow body region in the direction of the radiating element and having a wall thickness selected based on reflection, or lack thereof, of the microwave signals,