A measuring system is inserted into the course of a process line for a flowing medium and includes a measuring transducer with a measuring tube for conveying the medium and with a sensor arrangement for generating at least one measurement signal influenced by a measured variable of the medium. The measuring tube shows a smaller flow cross section than a supply segment of the process line, connected to the inlet end of the measuring system. The measuring system further includes a flow conditioner, arranged at the inlet end of the measuring tube and mediating between the measuring tube and the supply segment. The flow conditioner shows a lumen tapering towards the measuring tube, and includes at least two inner edges arranged upstream of its outlet end and protruding into the lumen of the flow conditioner. Between the first inner edge and the second inner edge, there extends additionally, a first guide surface of the flow conditioner. Moreover, the second inner edge bounds a second guide surface extending towards the outlet end of the flow conditioner and serving for guiding medium flowing in the flow container during operation.