Abstract: One of the differences in mechanical properties between lattice structures and dense structures lies in the plastic yield response. Therefore, studying their yield behavior can provide important theoretical basis for the design and application of lattice structures. Firstly, The Gyroid lattice structure was simplified and its mechanical model was established based on the principle of deformable body function, obtaining the mapping relationship between the plastic yield strength and volume fraction of the Gyroid lattice structure. Then, based on the finite element analysis software Abaqus, simulation experiments were conducted on the quasi-static compression process of Gyroid lattice structures to preliminarily verify the accuracy of the theoretical model. Finally, different volume fractions of 316L stainless steel Gyroid lattice structures were prepared by selective laser melting (SLM), and uniaxial compression experiments were conducted to analyze their deformation mechanism and mechanical properties. The results show that the error between theoretical derivation, finite element simulation results and experimental results is within 25%, and the coefficients of the Gibson-Ashby model fitted based on the results of the three methods have good consistency, indicating the effectiveness of the Gyroid lattice structure plastic yield strength prediction model established based on theoretical derivation. The construction method of theoretical models can be transformed into other complex types of lattice structures, providing a theoretical basis for quickly calculating the mechanical properties of lattice structures and applying them in engineering equipment.