Abstract: The surface subsidence induced by coal mining in Jincheng mountain area is difficult to predict. In order to solve this problem, the basic principle of rock strata and surface movement in mountain area was analyzed. Firstly, the basic meaning of slope position (up and down slope) and slope form(positive and negative slope) in mountain surface movement was explained, and the influence mechanism of slope position and slope form on surface movement was revealed. Secondly, based on the sliding principle of objects on inclined plane, the influence function of slope position on subsidence and slope form on horizontal movement were constructed. The expressions of inclination, curvature and horizontal deformation were established by derivation of displacement deformation values. A new mining subsidence model named tangent function modified model (TFM) was constructed. Finally, using the data of typical ground movement observation stations in Jincheng mining area, the adaptability of the probability integral method (PIM) and TFM was analyzed by using curve fitting method. Data analysis results show that compared with PIM, the fitting accuracy of subsidence value and horizontal movement value is improved by 0.019 and 0.412, which verifies the superiority of TFM. This study can not only provide important support for coal mining under buildings, roads and water bodies, but also for the ecological environment protection in Jincheng mining area and similar mining areas.