Due to fluid excitation and the vibration of connected equipment, industrial pipelines are prone to long-term medium-high frequency and small amplitude vibration. Magnetorheological (MR) dampers with a multi-stage squeeze plate structure were proposed to solve the problem of medium-high frequency vibration in the industrial pipeline. The dynamic characteristics of the industrial pipeline were analyzed to determine the installation position of the MR dampers. The mechanical properties of the proposed squeeze-mode MR dampers were tested, and the hyperbolic tangent mechanical model of the MR damper was established. The vibration control model of the industrial pipeline was built for simulation analysis. In addition, the Acceleration-Driven-Damper (ADD) control and the Proportional-Integral-Derivative (PID) control were used for simulation to predict the vibration reduction effect. Constant current experiments and control algorithm experiments were carried out on the vibration control platform of the industrial pipeline. The experimental results show that the maximum vibration attenuation rate of the MR dampers with constant current reaches 61.95%, while those with ADD control and PID control are 65.43% and 67.46%, respectively. Therefore, the squeeze-mode MR dampers can effectively reduce the medium-high frequency vibration of the industrial pipeline, and the control algorithms can further improve the vibration reduction performance.