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Open-cell foam material is an advanced functional and structural integration material，which can meet the practical needs of aerospace and other high-tech fields，and has a good prospect in practical engineering production applications. The research on the mechanical model of 3D open-cell foam has been developed，but there is little research on the acoustic model. A method of constructing a 3D open-cell foam model using Voronoi diagram is proposed to simulate the geometrical characteristics of the open-cell foam micro structure，and the disturbance factor K is defined to measure the degree of irregularity of the micro structure. The photosensitive resin printing technology is used to generate the corresponding physical model，and its accuracy is verified with mechanical and acoustic experiments and simulations. The results show that the generated porous foam solid model with cross-section properties can be imported into a variety of finite element software to complete the finite element calculation such as mechanics and acoustics，which can provide an idea and method for the construction of three-dimensional Voronoi open-cell foam model，and has certain reference significance for the further study of properties and production of porous materials.