The nonparaxial theory is applied to analyze the color blur of the annular aperture rainbow hologram where the paraxial approximation is invalid due to the largeincident angle of object wave. The results for both reconsttuction methods, theconveqtional conjugate reconstruction and readout with the aperture conjugationt6chnique, are derived. It shows that the color blur in both cases has similar form andabout the same values compared with ordinary rainbow hologram.