Synthetic slit rainbow holography is realized with translating the grating in this Paper. The grating is placed in front of the 2-D transparency During the recording of the hologram the grating is translated uniformly along the direction of the xo axis. As a result of this process. the synthetic slit is formed in the back focal plane of the lens. When the translating amount of the grating is integral times as large as the period of the grating it is possible that the frequency spectrum of the object ot all the other orders except for the zero order can be neglected.