This invention discloses a kind of cerium-based oxide fiber and its fabricating method. The cerium-based hydrate fiber can be synthesized by aging under the boiling point of water for 10 hours to 50 hours by the addition of a chemical modifier. The fibers show a diameter of submicron to micron size, and the aspect ratio is greater than 100. The hydrate fibers can transform to oxide fiber after calcination at high temperature.