According to the effect of three principal shear stress and three normal stress,octahedral shear stress and octahedral normal stress and three primary stress acting on the 26-polyhedron model,a multi-shear strength criterion is proposed based on analysis of Mohr-coulomb strength criterion,Drucker-Prager strength criterion,liner and nonlinear unified strength theory and three-shear strength criterion.Based on the exiting results of true triaxial experiment on rock,the parameters of multi-shear strength criterion are searched using the partical swarm optimization.Comparing with three-shear strength criterion,twin shear unified strength,Mohr-Coulomb strength criterion and triple shear energy yield criterion,the results show that multi-shear strength criterion well agrees with the experiment,is applicable to different kinds of rock.Moreover,aiming at multi-strength theory only have qualitative analysis in meridian plane or plane,direct comparison in-plane is presented.The results indicates that multi-shear strength criterion is of good applicability and high promotional value.