Abstract: In Xinjiang, the occurrence of earthquakes of M≥6.5 is concerned with the 16 active faults. So, the periodicity of strong motion earthquakes can be predicted by comparing the rate of activity of the main active faults with the seismic displacement. According to. the three empirical formulas derived from the study of practical data, estimates of the repretition periods of strong motion earthquakes for each qf the 29 active faults in Xinjiang and neighbouring areas have been made respectively. In the coming two decades, the active faults along the piedmont of the Kunlun Mountains, the Pamir-Kalakunlun and the Huoerguosi-Tugulu will be the warning faults where earthquakes of M≥6.9 may take place.