Interaction between fluid and elastic solid in fluid-filled pipelines is the main cause of pipeline vibration, which has a direct impact on the pipeline's dynamic characteristics. In this paper, based on the theory of fluid-structure coupling, the fluid dynamics model and solid kinematic model were established for a curved liquid-filled pipe impacted by the fluctuating pressure. Force analysis of the double-path fluid-structure interaction and modal analysis were conducted by means of ANSYS Workbench software. The impacts of fluctuating pressure, wall thickness and diameter of the pipeline were taken into account. The results show that the maximum stress occurs at the upper and lower portions in the vicinity of inlet and outlet. The maximum deformation occurs at the corners and the middle of the pipeline. The maximum equivalent stress and maximum deformation of the pipeline under the double-path fluid-structure interaction were greater than those of the single- path interaction. The natural frequency of the curved infusion pipeline under the double- path fluid- structure interaction decreases significantly, and the natural frequency of the pipeline increases non-linearly with the increasing of the wall thickness and diameter of the pipeline.