In order to reduce the vibration of fracturing branch pipe during fracturing operation, the fluid-structure coupling analysis method was used to carry out the modal analysis and harmonious response analysis of fracturing branch pipe, considering the impact of fracturing pump vibration and high-pressure fracturing fluid on fracturing branch pipe. The influence of angle of bend and number of fracturing branch pipe supports on fracturing branch pipe vibration was studied. The results show that under the current layout, the main vibration positions of the first six modal modes of the manifold appear at double elbows 2, 3, and 4, indicating that the main vibration deformation of the fracturing branch pipe occurs at its lower end, that is, at the double elbows far away from the fracturing truck. Considering the weak points at double elbows 2, 3, and 4, the smaller displacement response amplitudes of each double elbow at each connection angle are obtained based on the maximum displacement response amplitude. Indicating that each connection angle is the best choice for the actual fracturing operation. When four elastic supports are used, the maximum amplitude is much smaller than that of two or three elastic supports, indicating that adding elastic supports at the lower end of the fracturing branch pipe can weaken the vibration amplitude, and the optimal scheme can be obtained under the specific working range. The research results can provide theoretical guidance for the vibration characteristics and vibration reduction of fracturing branch pipe.