This study discussed the groundwater characteristics of the apex of the Zhuoshui river alluvial fan. We use the time series and spectra analysis to study the relationships between the river water level and groundwater level as well as the periodicity. The hydraulic diffusivity was inversely estimated by using the optimization analysis. The water level data of Chun-yun-Bridge and ten observation wells in the study area was collected from 2005 to 2008 for this study. We found that there is two to three months of response delay between the river water level and groundwater level in the studied area and there is a prominent period of one year analyzed from the data. The distance between observation well and river will influence the response delay time. This study also found that the spectra are stronger for regions with good continuous aquifer.