According to the World Health Organization, noise pollution is second only to air pollution in its impact on health and the environment. Fiber-based sound-absorbing structures have great application potential in the field of sound absorption and noise reduction because they can provide a wider sound absorption range than traditional porous fiber materials, and at the same time have the advantages of light weight, low cost and strong processability. Consequently, significant research interest in the field of noise control has been directed into the study of composite sound-absorbing materials based on porous fiber materials. In this review, we have summarized manifold theoretical structures based on fiber materials, such as multilayer structure, porous micro/nano structure, membrane sound-absorbing structure and perforated resonance structure of fiber-based sound-absorbing structures, aiming to illustrate that the structure must affect the sound absorption performance of the material. The focus is on the research and development of the design concepts, and preparation methods of fiber-based acoustic structures are reviewed. Finally, this review concludes with the prospects and outlook for fiber-based acoustic structures. We hope that this article which reviews the structure design principle and preparation method of fiber-based sound-absorbing structures can give inspirations for readers.