Abstract: With the continuous mining of underground coal seam, the area of mine goaf is increasing; the deformation, movement and damage caused by the action of gravity of overlying strata will be transmitted to the surface and cause the surface subsidence. Most coal seams are located in the mountains in Shanxi province; therefore, the dynamic mountainous mining subsidence is necessary. The paper, based on Knothe time function, combines with the influence of slip function and establishes the prediction formula of dynamic mountainous mining subsidence which can predict the surface dynamic subsidence value at a point in a moment, and the observation data of the ground surface in a mine area of Shanxi are verified. The results show that estimated and measured subsidence curves have good consistency.