The interpolation of precipitation data can improve the integrity of data series effectively. Taking Xiliugou River basin as reference, the paper interpolated the missing precipitation data in Maobulakongtuo interpolated with Empirical Mode Decomposition (EMD) and Back Propagation algorithm (BP) methods.The results were compared with that of correlation analysis, frequency analysis and stepwise regression analysis. The results show that EDM-BP model takes full advantage of effective information of Xiliugou the interpolation of precipitation data in EDM decomposition series,therefore which can better reflect the trend of precipitation series. Its precise of data fit and forecast is higher and is suit to the interpolation of precipitation data at Maobulakongtuo.The result has certain application value to the interpolation and extrapolation of other hydrological data.