<p>Voronoi structures are widely present in nature, and highly ordered Voronoi structures such as honeycomb structures have gained extensive recognition and in-depth research in the field of sound absorption structure design. However, Voronoi structures in biological tissues are not all highly ordered. Stochastic Voronoi structures are equally prevalent and exhibit excellent multifunctional properties. To further explore the acoustic value of stochastic Voronoi structures, this study proposes a Voronoi sound absorbing porous structure that features both structural stochasticity and performance robustness. First, a theoretical calculation model is established based on microperforated panel theory and Helmholtz resonance theory, enabling the rapid calculation of the structure’s sound absorption coefficient. Then, a systematic analysis is conducted on the effective conditions for absorption performance robustness from four dimensions: unit number, structural randomness, manufacturing errors, and boundary cutting. Results indicate that there exists a unit number threshold associated with absorption bandwidth in the Voronoi structure. When this threshold is exceeded, the structure can exhibit favorable sound absorption robustness against structural stochasticity, manufacturing errors, and boundary cutting. Experimental verification shows that under significant boundary changes, the structure still maintains an average sound absorption coefficient of approximately 0.8 within an absorption bandwidth of approximately 400&#xa0;Hz. Its favorable low-frequency broadband sound absorption performance and robustness endow it with promising application prospects in engineering fields where cost control, environmental adaptability, and construction efficiency need to be balanced.</p>