By means of ultrasonic and cationic treatment, the surface of the fiber was adapted to maximize the support of the nanocomposite rGO@TiO2; which had a previous preparation and subsequent anchoring to the fibers by chemical reduction in times of immersion. The fibers were subjected to characterization by FTIR spectroscopy, while in the nanomaterial obtained was verified the deposition of the nanocomposite by means of scanning electron microscopy SEM, as well as the change in the value of the bandgap for TiO2 by UV-spectroscopy. In order to evaluate the photo-degradative activity of the rGO@TiO2 / Fique catalyst, we used Methylene Blue (MB). The experiments were carried out using sunlight that allowed obtain a degradation efficiency of approximately 99 % in two hours.