We present a simple method for hologram multiplexing, in which a fiber bundle i semployed as a device for producing random reference patterns with a rotary movement. In the experiment, 100 holograms are rcorded one after another in a LiNbO3 crystal. Each stored hologram is read out clearly by rewinding the bundle's rotation angle to that adjusted as the hologram is written. We also investigate whether each part of the recorded image reappears to confirm the quality of readout images. With the help of a bit-error rate criterion, we show that the reproduction of the stored holograms is successfully performed. Smooth and stable reproduction of recorded images enables us to regard a series of read-out images as an animation.