A method to obtain vegetable fibers from vegetable specimen xylematic tissue meristematic cambial cells is provided. The method implies the identification and isolation of meristematic cambial cells from the xylematic tissue, their later cultivation and multiplication and the induction of fiber-like structures, in order to finally produce fibers. The process obtains vegetable fibers in laboratory conditions through isolated xylematic tissue cambial cells, offering an alternative to the production of fibers from plants.