Aiming at the problems of the meso-mechanical model of PBX,such as the inconsistency between the model struc-ture and the real meso-morphology of PBX,the incomplete description of failure behavior(only considering interface debond-ing),and single research object(mostly aiming at PBX-9501),a meso-mechanical model of PBX based on Voronoi modeling and Cohesive elements is established.Firstly,based on the meso-structure diagram under the optical microscope,the meso-structure model of PBX explosive is constructed by Voronoi method,which is closer to the actual morphology.Then,Cohesive finite element method is introduced into the interior of the explosive crystal,the interior of the binder and the interface of the explosive particle/binder by using the cohesive finite element method to simulate the failure behavior of any path on a two-di-mensional scale.Finally,the model parameters are calibrated for a HMX/F2311 and a HMX/F2313 binder explosives,and the quasi-static tensile behavior of the two explosives is simulated.The results show that the numerical simulation of the tensile de-formation curve,failure stress,and failure strain were in good agreement with the experimental data,which indicates that the model is not only suitable for describing the deformation behavior of different PBXs(linear elastic PBX and nonlinear PBX),but also can analyze the microscopic mechanism of PBXs in the tensile failure process.Furthermore,the model can describe the crack initiation,propagation and penetration of different PBX explosives.