Abstract. The coupled problem between gas flow and solid deformation in porous media analysis has important influence in contaminant transport and gas outbursts during coal mining. In this paper, it is presented an analytical method to solve coupled nonlinear models of stress and gas seepage, which consider the Klinkenberg effects as gas penetrating into porous medium. The method is based on integrating the stress model and changed the coupled equations into an nonlinear ordinary differential equation by Boltzmann variable, then an approximation is constructed for simulation. At last, an illustration is given to confirm the accuracy of present solution.