In this paper,stress triaxiality is added to the classical crystal plasticity constitutive model to investigate the experimental phenomenon of tension-compression asymmetry for the GCr15 bearing steel.Firstly, the crystal plasticity constitutive model is extended by considering the effect of stress triaxiality on yield criterion and flow rule in each slip system.Secondly,representative volume element（ RVE） was simulated to regenerate the quasi-static uniaxial tensile and compression engineering stress-strain curve of GCr15 bearing steel by using crystal plasticity finite element method.The results show that stress concentration occurs at the grain boundary due to the crystal orientation difference among polycrystalline grains,and under the influence of triaxial stress state,the RVE simulation results show that the stress concentration has a significant effect on tensioncompression asymmetry.Therefore,it is concluded that the effect of stress triaxiality on the texture of mesoscopic crystal is an important factor that causes the phenomenon of tension-compression asymmetry.