The anisotropy of magnetic susceptibility of single asbestos fibers is measured. The alignment of both chrysotile and crocidolite fibers in magnetic fields is found to be due to the anisotropy. The average measured anisotropy of volume susceptibility is 0.40310 for chrysotile and 83310 for crocidolite. Fiber shape effects are estimated to contribute, on average, about 10% and 6%, respectively, ...