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To follow the national development concept of "Lucid waters and lush mountains are invaluable assets", the reuse of abandoned mines has become a hotspot. A reasonable stability analysis method to reinforce the slope must be proposed. However, the shape of common mine slope is close to a circle or an ellipse, and thus the three-dimensional space effect of stability cannot be ignored. Based on the strength reduction method of FLAC3D, an axisymmetric numerical analysis method was proposed. Through comparative calculation and analysis, some conclusions can be obtained as follows: (1)For concave slopes with circular-likeshape, the safety factor calculated by the axisymmetric model is more accurate than that of the traditional plane strain model, the calculation time of the proposed model is less, and the proposed model is also applicable to various types of slopes. (2)The safety factor obtained from the axisymmetric model is close to the results obtained from the 3-D model, while the safety factor obtained from the traditional plane strain model is conservative.(3)The calculation results of the axisymmetric model are also consistent with the results from the literature. The proposed model is further applied to the stability analysis of a mine slope reinforcement in Changsha Ice World, which can also be applied in the slope stability evaluation of similar projects.