A cross-flow reactor model with distributed feed of oxygen and product removal for the oxidative coupling of methane (OCM) was developed, and comparison studies were carried out to analyze the different performances of reactors with different configurations in terms of contact time, temperature, pressure, dilution ratio, and permeability. For each of the reactor configurations considered, the overall methane to oxygen feed ratio was optimized such that the C-2 yield at the reactor outlet was maximized. Modeling results showed that distributed feed oxygen could give rise to much higher C-2 yields than the cofeed reactor, as long as the ratio of catalyst loading to initial methane flow rate was sufficiently high. Although reactors with optimally distributed oxygen feed give higher C-2 yields than evenly distributed ones, the improvement is not significant. In the case of a two-membrane reactor, where one membrane is used for oxygen feed and the other for C-2 product removal, higher C-2 yields could be obtained than in a single membrane reactor with distributed oxygen feed. However, if the membrane for C-2 product removal is also permeable to other species as well as to C-2 products, low permeability of methane is critical to the achievement of high C-2 yield.