With a large number of new energy sources being connected to the power grid, the economy and stability of the power system have decreased. The new type of independent phase-shifting transformer (IPST) can regulate the active and reactive power of the line and has good performance and feasibility. However, during the operation of IPST, vibration may occur, which may lead to faults such as loosening of core structural components and winding breakage. Therefore, this paper takes a single-core type IPST as the research object, analyzes the vibration mechanism of its core and windings, and analyzes its vibration characteristics through electro-magnetic-force coupling calculation. Firstly, analyze the vibration mechanism of IPST to drive the magnetostrictive effect and the vibration effect of electromagnetic force on IPST, and construct the basic model of the vibration of the core and winding of single-core IPST. Then, the vibration characteristics of IPST are simulated and studied. The characteristics of magnetic flux density, stress, vibration displacement and vibration acceleration of IPST at one gear were analyzed through the coupling of electromagnetic-force multiphysics fields, laying the foundation for the research on vibration suppression measures of IPST.