Abstract: The deformation and failure of overlying rock strata under the condition of fault structure are the main factors inducing coal bursts in coal mines. It is of a great theoretical significance and engineering guiding value to reveal the evolution characteristics of overlying rock strata displacement field under the tectonic stress. In this study, five interpolation algorithms, including linear interpolation, nearest neighbor interpolation, bicubic interpolation, inverse distance weight interpolation and, Kriging interpolation are selected to conduct an optimization analysis. The information entropy weighted regression method is integrated with the variogram Gaussian model to improve the accuracy and spatial integrity of Kriging interpolation algorithm and, then by companying the elasticity boundary theory, to form a modified Kriging interpolation algorithm for the visualization calculation of three-dimensional (3D) displacement of overlying rock strata around the coal mining face. Taking the typical mining face of Mataihao coal mine in Ordos City¹ of Inner Mongolia in China as the engineering geological background, the deformation, movement and, caving process of overlying rock strata under the condition of fault occurrence is simulated through physical experiments. The dynamic evolution characteristics of the overlying rock strata displacement are obtained by using the 3D overlying rock visual interpolation algorithm.