Although diesel engines have an advantage of low fuel consumption in comparison with gasoline engines, several problems must be solved. One of the major concerns is that diesel exhaust gas has more particle matters (PM) including soot, which are suspected to be linked to human carcinogen. As one of the key technologies, a diesel particle filter (DPF) has been developed to reduce particle matters (PM) in the after-treatment of exhaust gas. In this study, we simulate soot deposition in porous media by Lattice Boltzmann method. Results show that the flow pattern is largely changed when the soot is accumulated. When the soot concentration is higher at the inlet, the accumulated soot is expectedly increased.