This paper discusses the stress fatigue failure phenomenon of an industrial stack resulting from the resonant oscillation phenomenon caused by the action of a strong wind. This can lead to the structure fatigue of a stack and its support. In this research, a practical industrial stack in use suffering from the stress fatigue failure resulting from the resonant oscillation phenomenon caused by monsoon is investigated. The monitoring result of the stack is analyzed herein. The aim is to improve the structure failure problem of the stack and its support under the action of a strong wind.