The selection of microorganisms with the potential of deconstruction of cellulose to obtain fermentable sugars has been the subject of research to obtain lineages with technological potential. The Submerged mycelial culture is a technique that allows a quick response on the lineage of interest. The determination of the apparent kinetic parameters KM and Vmax is essential to evaluate initially the enzyme's affinity for the substrate and the maximum rate of product formation. In this sense, the cultivation of the microorganism was performed in conical flasks with orbital agitation where mycelium of Trichoderma virens isolated from marine xylophagous was inoculated. For the determination of KM and Vmax the liquid culture was used as the enzymatic agent. The values of KM and Vmax were estimated by the methods of Lineweaver-Burk, Hanes, Eadie-Hofstee and Carvalho. It was observed that the models of Hanes and Carvalho were the ones who presented values of KM closer to each other, and the values of KM and Vmax for Lineweaver-Burk became more away from others models. It was noted, however, that the coefficient of determination for Lineweaver-Burk showed a higher quality adjustment.