This paper discusses the resonant oscillation phenomenon of an industrial stack caused by the action of a strong wind. The resonant oscillation can lead to the structure fatigue of a stack and its support. One way to alleviate this situation is to suppress the oscillation phenomenon of the stack. In this paper, a practical industrial stack in use suffering from the resonant oscillation phenomenon caused by monsoon is investigated. The resonant oscillation has led to structure fatigue of the stack and its support. The monitoring result of the stack is analyzed herein. In addition, this paper also reviews and compares the vortex-induced oscillation suppressing devices. The aim is to improve the structure failure problem of the stack and its support under the action of a strong wind.