In this work, a search methods strategy based on optimization algorithms is proposed for the kinetic modelling of a dark fermentation process using tequila stillage substrate for hydrogen production. Kinetic model based on the ADM1 approach is fitted to the experimental data to evaluate the dynamic behaviour of the metabolites produced and consumed during the mixed-culture fermentation. This batch fermentative process is based on mass balance analysis and correlated kinetic expressions following a Monod type dependence. In previous works, batch experiments were performed using different substrates to characterize the metabolic transformations involved in hydrogen production. Where, a kinetic model was developed and fitted to the obtained temporal profiles using Matlab and Excel solvers, allowing a satisfactory description of the metabolic pathways leading to hydrogen production. The aim of this research is to show the efficacy of the proposed optimization strategy to find the kinetic parameters of the model that will allow predictions on the behaviour of hydrogen production.