A router includes a motor housing, a motor provided in the motor housing driving a collet for turning a cutting tool, and a base for resting on a workpiece. Support columns mounted to the base allow the motor housing to move relative to the base in a direction parallel to the rotational axis of the cutting tool. The support columns are spaced apart in a direction transverse to the rotational axis, and the motor housing is connected to the support columns by means of support members spaced apart in a direction parallel to the rotational axis.