An intake manifold with an integrated exhaust gas recirculation system (16, 17a, 17b) which is located primarily within a plenum (12) of the intake manifold and is spaced at a distance (a) from the walls (20) of the intake manifold. This limits the heat transfer to the housing of the intake manifold, so that the housing may be manufactured, for example, of synthetic resin material. Further relief of the synthetic resin housing, particularly of the intake channels (14), from thermal stress is provided in that the intake air within the plenum cools the exhaust gas in the exhaust lines (17a, b), so that the intake-air/exhaust-gas mixture within the intake channels (14) does not exceed the critical temperature for the. synthetic resin walls (20) of the channels even if the exhaust gas recirculation rates are high.