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This paper presents an analysis of multiple species transport in saturated porous media under multiplicative Monod biodegradation kinetic and non-equilibrium sorption given by Freundlich isotherm. The problem is modeled with nonlinear system of partial differential equations coupled through sorption and biodegradation terms. The operator splitting technique was employed to approximate the problem solution in two steps: initially the advectiondispersion transport problem for the contaminant and oxygen were solved. Then, employing this first step approximation as initial condition we solved the ordinary differential equations for reactions. The finite element method and Crank-Nicolson scheme were respectively used in the spatial and time discretization of the first step. The differential equations for the reactions were approximated by fourth-order Runge-Kutta method. Applications for 1D problems were compared with other solutions obtained in the literature and some 2D results were also considered. Numerical results obtained in this work are in good agreement with solutions presented by other authors. These results allow us to verify that the biodegradation process, and consequently the biomass growth, is highly affected by non-equilibrium sorption.