Abstract: According to the early stage data of Zhangbei earthquake sequence in 1998 recorded at Zhangjiakou Station, GM (1, 1) dynamic grey prediction model for the remarkable after shocks(M_L4.0) has been set up, and the trial on-site prediction to 5 remarkable after shocks which continuously occurred within short time period after the main shock in Zhangbei seismic area have been made by the model. The result is relatively identical with the fact, sbowing that the grey prediction method has a certain practical significance to how to simply and directly and effectively predict the early stage after shocks of earthquake sequences.