The filamentous bacterium Streptomyces clavuligerus (Sc), is of great commercial interest and a metabolite of interest is Clavulanic Acid (CA), a potent inhibitor of the enzyme ß-lactamase that confers resistance to beta-lactam antibiotics to microorganisms both Gram positive and Gram negative. The fermentation was performed in a bioreactor 3L with a working volume of 1 L, 28 ° C, 1 vvm, 500 rpm and a pH of 6.8 in batch. Samples were taken every 24 hours for the determinations analytical, from which obtains the kinetic behavior of the fermentation. The model shows the formation of biomass (X), the consumption of substrate (S) and the formation of product (P). Kinetic parameters were estimated from the Levengerg-Marquardt method. The experimental data used in the simulation, modeling and parametric adjustment were obtained using a chemically defined medium. It performed a sensitivity analysis of the parameters, varying each parameter within a range of ± 10% of the optimal value of the parameter. Model obtained represent the kinetics and experimental behavior of the production process of secondary metabolite which helps make the process more economical.