A device for covering and ventilating a ridge or peak region of a roof, with a central cover band (2), a first side strip (24) provided with venting openings (11) to the right of the center of the cover band (2) and a second side strip (23) provided with venting openings (8) to the left of the center of the cover band (2), wherein between the central cover band (2) and the first side strip (24) is provided a first air-permeable, but water-impermeable, band (3), which covers over the venting openings (11) of the first side strip (24), and that between the central cover band (2) and the second side strip (23) is provided a second air-permeable, but water-impermeable, band (4), which covers over the venting openings (8) of the second side strip (23), wherein each of the air-permeable, but water-impermeable, bands (3,4) is connected with its one end to the cover band (2) and with its other end to a corresponding one of the side strips (23,24).