The growth of single crystal AgBr optical fibers is described. A form of the Czochralski process is used and lengths of fiber up to 10 m have been made. Transparency of AgBr extends from 0.5 to 25 μm and measured attenuation of fiber and bulk material agree at ~ 2x10-2cm-1. Crystal growth occurs consistently with the fiber axis in the  direction. The absence of grain boundaries should result in low optical scattering. It should be possible to grow optical fibers from many other crystals by this method. Numerous applications in infrared transmission and in active laser devices exist.