Abstract: Due to the lack of calculation models of the basic roof periodic weighting step of topple mining, according to the principle of superposition, the basic roof fracture mechanical model of the topple mining is divided into a cantilever beam model subjected to vertical load and a cantilever beam model subjected to horizontal load. The stresses of the two models are obtained using semi-inverse solution and inverse solution respectively. Then, the maximum principal stress distribution form of the basic roof is obtained using the superposition principle. Based on the theory of maximum tensile stress intensity, the basic roof periodic weighting step calculation model of the topple mining is established. Finally, the accuracy of the model is verified by using the on-site measured data of the III601 topple working face in Huaibei Mining Group and 8105 topple working face in Guobei coal mine. The results show that: The calculating model based on the semi-inverse solution and the inverse solution has a strong theoretical foundation, which can simultaneously consider the comprehensive influence of basic roof thickness, rock tensile strength, overlying load and the angle of the topple working face; The calculation results show that the periodic weighting steps of Ⅲ601 and 8105 topple working face are 19.1 m and 21.2 m, respectively, which are consistent with the average periodic weighting steps of 20.1 m and 19.8 m monitored on site. The average absolute errors of the two are only 1.1 m and 1.5 m, respectively, which verifies the accuracy of the theoretical model. The basic roof periodic weighting step increases linearly with the increase of the basic roof thickness, the nonlinearity increases with the increase of the tensile strength of the rock, the linearity decreases with the increase of the angle of the topple working face, and the nonlinearity decreases with the increase of the overlying load. The research results have important theoretical significance and engineering value for the prediction of basic roof periodic weighting step.