The interferometric data acquired by Fourier transform spectrometer was a betweenness which couldn’t be used directly. For the successful application of the interferometric data,spectrum recovery processing must be adopted. The conventional method based on inverse Fourier transform was frequently used for spectrum recovery. According to the principle analysis of the interferometric data,the mixing model was induced,and the spectrum recovery method based on the mixing model of the interferometric data was presented. Finally,the computer simulation for these two methods mentioned above was implemented,and the recovered spectra were compared with the standard spectrum. The simulation results indicated that the spectral precision of the new method was better than the conventional method,which provided a new scheme for spectrum recovery.