A fuel tank venting system for a motor vehicle includes an outlet side of a tank venting valve connected to an inlet side of a first vent line and to an inlet side of a second vent line. An outlet side of the first vent line is connected to an intake manifold upstream from a throttle valve and downstream from an air filter, and an outlet side of the second vent line is connected to the intake manifold downstream from the throttle valve. A position sensor may be located at a first position and the first closing element has a detectable element. The position sensor is connected to an electronic control device to transmit signals. A position of the first closing element may be determined by means of the position sensor and the detectable element.