Abstract: Geo-stress plays an important role in the design and production of deep or soft rock coal mine. Four in-situ tests have been carried out by hollow inclusion strain gauge method, the magnitudes and the directions of geo-stress in the south limb of Zhuxianzhuang coal mine were obtained. Taking them as the constraint conditions,the optimization method based on multi-objects used ANSYS to establish the optimized back analysis model, the optimized boundary conditions were obtained through inversion, and the distribution characteristics and the variation of geo-stress have been numerically analyzed. The results show that the geo-stress in Zhuxianzhuang coal mine is dominated by the horizontal tectonic stress, its magnitude ranges from 20 MPa to 25 MPa, and its direction mainly lies in N60°E and N75°E, while its non-uniform coefficient is between 1.1 to 1.8.