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A method combining the Voronoi random model with ABAQUS finite element software was employed to simulate the deformation process of entangled titanium wire materials with different porosities under the quasi-static uniaxial compression load, and investigate the deformation mechanism of the materials. The results revealed that the non-uniform density distribution could cause the local deformation and the formation of deformation regions. The model almost did not appear as macroscopic fracture until the final failure. The entangled titanium wire materials models showed typical elastic-plastic behavior under compression load (i.e., three stages of deformation): an elastic stage, a relatively longer plastic collapse platform stage, and a densification stage. It was also found that the “platform stage” in the stress-strain curve during the compression process was not very flat. The length of the platform stage became shorter as porosity decreased, and the plateau compression force increased significantly with the decrease of porosity. These results agreed with the actual compression test results of the entangled titanium wire materials.