Abstract: The main reasons for the vibration of iron core reactor include the Maxwell force of the iron core and the magnetostrictive effect of the silicon steel sheet. To accurately establish the magnetostrictive model of silicon steel sheet, the magnetostrictive model is established based on the secondary domain transition model of soft magnetic materials combined with the Jiles-Atherton hysteresis model, and adaptive simulated annealing (ASA) algorithm was used to extract multiple parameters in the model. Based on confirming the validity of the magnetostrictive model, the multi-physics simulation software is used to construct the vibration calculation model of the dry-type iron-core reactor considering the magnetostrictive model. The vibration distribution characteristics of the iron core are analyzed, and an optimization model that can accurately predict the vibration displacement of the iron core is established by combining the Latin hypercube sampling and the Kriging model. In the case of balancing the electromagnetic and vibration characteristics of the core reactor, the amount of metal conductors on the core is minimized, and the optimal structure of the core of the reactor is obtained. The characteristics of the reactor model before and after optimization are compared and analyzed. The results show that, after optimization, the amount of metal conductors in the core of the reactor is reduced by 9.21%; the inductance error is only 0.31%; the vibration of the core is reduced by 18.18%, which meets the electromagnetic and vibration requirements of the reactor.