Gas mixtures with different components and temperatures were used to simulate the exhaust gas of anode and cathode for solid oxide fuel cell （SOFC）. And a double-layer porous medium burner was built to investigate the combustion characteristics of the simulated SOFC exhaust gas. The results show that the burner can realize the stable combustion of anode exhaust gas at the transition and stable stage of SOFC. However， the combustion of anode exhaust gas at the initiating stage is prone to backfire and the flue gas temperature in the burner has a little change with the SOFC working stage. The decrease of combustible components and the increase of inert components in anode exhaust gas make the flame move downstream in the burner and reduce the stable combustion temperature. Decreasing the inlet air velocity makes the stable combustion temperature rise first but then drop and the flame move upstream in the burner. Under the condition of no back pressure， the stable combustion limit of the burner decreases with the increase of fuel utilization.