<p>A router with a cutter head (1) containing the drive motor (2) so that the cutter head (1) is held in a displaceable manner at guide columns (31) which are secured at a base plate (20) which is provided with a central opening (21) for the passage of a cutter inserted in the tool holder (4) of the cutter head (1), is provided in the base plate (20) with a suction intake channel (23) which surrounds the central opening (21) over at least the larger part of its periphery and to which a suction extraction channel (36) is connected. The suction extraction channel (36) runs inside one of the guide columns (31) which for this purpose has been constructed so that it is hollow. <IMAGE></p>