In this paper, according to the parameters of the dry type air core smoothing reactor, the stress-sound field and fluid-temperature field coupling simulation model is established, the detailed temperature field and sound field distribution are obtained, and the influence law of sound arrester on the sound pressure level and temperature rise are analyzed. It can be found that the temperature rise of encapsulation coils are significantly increased when adding the sound arrester, and the reasons are given by analyzing the fluid velocity in the air ducts. Meanwhile, the optimization design method about sound arrester is proposed based on the orthogonal experiment design and finite element method. The influence curve and contribution rate of sound arrester on the pressure level and temperature rise are analyzed, and the optimal structural parameters of the sound arrester are obtained. The results show that the optimization method can significantly reduce the temperature rise and sound pressure level simultaneously, and improving the operational reliability of the smoothing reactor.