Ce3+∶YAG single-crystal optical fiber fluorescent materials for LED white light sources have been grown directly from powder source rod by laser heated pedestal growth method. Various diameters Ce3+∶YAG single crystal optical fibers from 150 μm to 1000 μm are available by single-step and/or multi-step process. Fluorescence spectrum of the grown optical fiber materials under 465 nm LED pumping is measured and results show strong wide band fluorescence emission near 550 nm wavelength. High efficient LED white light sources can be got by combining blue LED and grown Ce3+∶YAG single-crystal optical fiber. The developed optical fiber white light sources show good white light quality with the 5881 K of the color temperature and the CIE color coordinates (x＝0.310, y＝0.350) and 75 of the CRI. Combined with the good qualities of optical crystal materials and optical waveguide properties, the grown Ce3+∶YAG single-crystal optical fibers have a high efficiency of LED pump and fluorescence collection prior to general powder Ce3+∶YAG fluorescent materials. It can be used for high power LED white light sources in future.