Abstract: The invention relates to a method and apparatus of drying a fiber web (5) which is dried between two tight bands (1, 2) that move in parallel and turn around turning rolls (6a, 6b, 7a, 7b), the first band (1) being heated and the second band (2) being cooled, the fiber web (5) being arranged to run through the drying zone defined by the bands (1, 2) together with at least two felts or wires (3, 4) such that the fiber web (5) is in contact with the surface of the first band (1), a coarse wire (4) is in contact with the surface of the second, cooled band (2), and a fine wire (3) is between the fiber web (5) and the coarse wire (4). The fine wire (3) is cleaned with a cleaning device (11).