PURPOSE: To prevent a generation of error measurement or mechanical damages by a method wherein a compensation cylinder is provided and a Coriolis pipe is arranged inside the compensation cylinder.

CONSTITUTION: An acceptance cylinder 8 composed of stainless steel is advantageously provided outwardly, and a structure unit comprising a Coriolis pipe 1, a compensation cylinder 6 and a coupling ring 7 is arranged inside the cylinder 8. Thereby, error measurements or mechanical damages are not generated extremely slightly by a temperature fluctuation and an external acting force. This structure comprises an end measuring part connecting with the cylinder 8 and two coupling rings 9 composed of stainless steel, and the rings 9 are connected to a connection flange 10 projecting toward outwardly thereof, respectively. Further, a connection pipe 11 coupling with the pipe 1 is penetrated through the ring 9 and projected into the flange 10, whereby further compensated. At that time, the pipe 1 and the pipe 11 are constructed integrally. In other words, advantageously, a consistent pipe is formed as a whole.