To deeply analyze the influence of the 2021 Yangbi M_S6.4 earthquake on the surrounding faults and the effect of static Coulomb stress between earthquake sequences, based on the rupture model of the mainshock and the analytical formula proposed by Okada, this paper calculated the static Coulomb failure stress (CFS) generated by the mainshock on the surrounding faults. The result shows that the magnitude of CFS in the middle part of the Weixi-Qiaohou fracture zone, the northern segment of the Lancang River fracture zone, the northern segment of the Red River fracture zone, and the middle segment of the Nujiang River fracture zone are increased by several kPa. Then, the horizontal stress field and the displacement field in surrounding area generated by the earthquake were calculated. It is found that the materials on the east and west sides of the epicenter flow outward, and those in north and south sides converge to the epicenter, with subsidence in north and south sides and uplift in east and west sides. The stress field generated by the earthquake shows EW-trending compression and NS-trending extension, which counteracts the background tectonic stress field to a certain extent. Finally, the triggering effect between the foreshock-mainshock-aftershock sequence was investigated. The results show that the static Coulomb stress produced by the foreshock promotes the occurrence of the main shock. Near the depths of 2 km, 13 km, and 18.5 km, high proportion of triggered aftershocks (with positive Coulomb stress changes generated by the foreshocks and mainshocks) is founded, but at the depth of 7 km (with maximum slip in co-seismic fault model), most of the aftershocks are distributed in the negative Coulomb stress region (stress shadow zone). These focal mechanisms are quite different with that of the main shock. Therefore, the maximum static CFS was calculated by simulating the fault planes with the maximum shear stress as the receiving fault planes of the aftershocks. The result shows that the aftershocks in stress shadow zone still have the possibility of being triggered.