In this paper the methods of spectral analysis for current vector time series are introduced briefly, and applying the FFT method, the spectra of u, v components and rotary spectra are calculated for current vector time series observed by a mooring buoy in the shallow water off coast of Qingdao. In this analysis the time series of residual currents are given by 25-hour-running average method. It is shown that the residual currents respond to winds quikly from surface to bottom in the observed region,furthermore, the 1/6, 1/8, 1/10, c.p.d constituents of the shallow water tide currents are significant besides the 1/2 and I c.p.d ones.