Abstract: In this paper, the anomalies after the Xingtai M6.8 earthquake on March 8, 1966, have been analyzed item by item.It is found that some anomalies after the earthquake have a relatively belivable inner link with the later M 7.2 main shock.Based on summing up characteristics of the anomalies after the Xingtai earthquake, 6 suggestions have been made, which may have universal significane for predicting Later earthquakes under the similar condition.