<p>Power connectors are crucial components for transferring current from the main conductor to the branch lines. The failure of cylindrical clamps may seriously affect the operational safety of grid power systems. In this paper, the dynamic response and fatigue life of cylindrical clamps under vortex-induced vibration are systematically investigated. First, the aerodynamic parameter model of the conductor and the finite element model of the power line were established based on the actual distribution line. The effects of vibration load on the dynamic response of cylindrical clamps under various wind speeds were investigated independently. Secondly, the stress distribution and fluctuation time course curves of each part of the cylindrical clamp were analyzed. Finally, based on the Weibull distribution, a wind field with an annual average wind speed of 5&#xa0;m/s was established to evaluate the fatigue life of the cylindrical clamp. The stress results reveal the vulnerable areas of the cylindrical clamps and their failure modes. The fatigue life results indicate that the weakest location is the contact interface between the conductor and the clamp, with a fatigue life of 12.43&#xa0;years. This study fills a research gap in stress distribution and fatigue life of power connectors in breeze vibration environments and could offer valuable insights for optimizing and assessing the safety of power connectors.</p>