A dense SrCe0.95Yb0.05O3 - α thin film (∼2μm) was used to remove H2 during non-oxidative conversion of methane to higher hydrocarbons on Mo/H-ZSM5 in order to overcome kinetic and thermodynamic constraints. At 950 K, these films removed only a small fraction of the H2 produced and hydrocarbon synthesis rates were unaffected by H2 removal. Higher temperatures led to a modest increase in CH4 conversion rates, but also to slightly lower C2–C{12} hydrocarbon selectivities and to higher catalyst deactivation rates. These undesired effects were eliminated by the addition of small amounts of CO2 to the CH4 reactants. The combination of dense SrCe0.95Yb0.05O3-α thin films, chain-limiting catalytic pyrolysis reactions on Mo/H-ZSM5, and CO2 co-reactants led to stable catalyst performance and modestly higher hydrocarbon synthesis rates than in conventional reactors. The improvements achieved by continuous H2 removal are in agreement with predictions of kinetic-transport model simulations in tubular reactors with permeable walls.