Open-cell foam material is an advanced functional and structural integration material that can meet the practical needs of aerospace and other high-tech fields, and has a good prospect in practical engineering production applications. In this paper, 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 microstructure, and the disturbance factor K is defined to measure the degree of irregularity of the microstructure. The smaller the disturbance factor, the more regular the microstructure. 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, and the corresponding physical model can be generated by photosensitive resin printing technology. The accuracy of the generated model is further verified by mechanical and acoustic experiments and simulations. This paper provides 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.