With Singular Cross Spectrum (SCS) method, the summer precipitation over Hebei Province from 1951 to 2002 and the coupled periodic signals of interaction between key areas in the 500 hPa height field fron February to March in the North Hemisphere were diagnosed and analyzed, and the annual and decadal variation characteristics of the array series were obtained. Based on SCSA and RCCS (Reconstructed Coupled Oscillation Component Series), in conjunction with regression analysis, the prediction model was established, with which the precipitation prediction of summer in Hebei Province was made and the result is satisfactory.