In order to explore the destruction law of roof clad rock under the influence of multiple mining of close distance coal seam group, the upper coal group of Gaojiazhuang Mine was taken as the research object, the FLAC numerical model was constructed to simulate the destruction form and movement law of overlying coal rock mass when mining the No. 3 coal seam. The results showed that: under the condition of many mining, the goaf rock movement trend was similar, but overburden subsidence increased significantly, and presented the movement of the overall coordinated subsidence, overburden damage degree increased, especially part of the cycle to pressure, broken rock stepped sinking, showing the characteristics of local displacement field evolution. The simulation results showed that the rock layer within 15m above the working face of No.3 coal seam was in the range of collapse zone, and the range of 35m above No.3 coal seam might be a crack zone; the damage degree of the first coal seam was more obvious.