Abstract: An edge router for milling off protruding margins of edge bands that have been glued or bonded to the narrow edges of a panel type work piece is properly guided even if the edges are rounded, curved, or otherwise uneven. For this purpose, the guide device extending in parallel to the milling or drive shaft of the edge router is provided in the form of two separate parallel guide elements (9, 9'). Even if the guide roller rolls along a curved or rounded, or otherwise uneven edge and even if one of the guide elements is already outside the surface of the work piece, the other parallel guide element will still be positively engaged with the top surface of the panel type work piece for positive guiding at all times.