A device for removing cooking vapors in a direction vertically below a hob plane includes a cooking vapor entry device that can be reversibly opened and closed and an exhaust air duct that is connected thereto. A connecting section is provided downstream on the cooking vapor entry device. The downstream exit opening of the connecting section has the cross-section of a horizontally extending rectangle, an oblong hole or a slot, with the width of the exit opening being larger than the height thereof and the width corresponding approximately to the width of the entry opening. One or more flat duct elements having respective horizontally extending, rectangular cross-sections are connected to the cooking vapor entry device and/or to the preliminary section and/or to the connecting section either indirectly or directly, downstream of the exit opening from the side and horizontally and/or from the side and from below at an angle.