Abstract: In the process of Kroll method,compression deformation is the main large strain phenomenon of titanium sponge mechanical crusher production.Based on the compression experiments of core compacted zone of titanium sponge,the influence regularities of porosity to titanium sponge compression mechanical properties have been analyzed,and the compression stress strain constitutive model of titanium sponge has been established.The results show that the compression elastic modulus changes from 4.04GPa to 2.3GPa and the flow stress changes to 41.66MPa from 51.26MPa with the increase of porosity from 32.77% to 39.02%. The stress strain constitutive model theoretical calculation results is similar to the experimental test data, and this is conducive to the establishment of titanium sponge mechanical extrusion finite element model.