The short-term and imminent earthquake prediction is the major difficult problem on earthquake prediction. It is dependent on good precursory measures and data processing method. Based on the viewpoint of the weak precursor information and by using the method for getting the information, the data observed from 31 stations or observation items such as radon in groundwater, water level, earth resistivity and ground stress in Gansu, Qinghai, Ningxia, Shaanxi are processed. The results show that there are weak precursor informations on about sixty five percent of the stations or items before the Gonghe M_S7.0 and Jingtai M_S6.2 earthquakes. It is quite evident that the method has higher capacity for distinguishing anomalies than other ways.