The oxidative coupling of methane (OCM) has been studied using the 1 wt % Sr/La2O3−Bi2O3−Ag-YSZ solid oxide membrane reactor. The effects of oxygen flux, temperature and feed concentration on the performance of oxidative coupling of methane reaction have been investigated. Two mathematical models based on well-mixed flow (CSTM) or plug flow (PFM) in the reactor have been developed to describe the behavior of the solid oxide membrane reactors. The simulation results show good agreement with experimental data. However, the simulation results of the CSTM fit experimental data much better than that of PFM over a broad range of experimental conditions. The simulation results also show it is very important to match reaction conditions and reactor parameters.