Abstract: A carriage unit for a machine tool, especially forming a tool support for drilling or milling machines, comprises a carriage having a guiding foot which has a cross-section in form of a quarter of a circular cylindrical ring and is provided with a cylindrical outer surface and two ring intersecting surfaces which form sliding surfaces of the guiding foot, and supporting elements including a parallelepiped-shaped guiding block mountable on a machine tool housing and having a quarter cylindrical bearing surface on which the outer cylindrical surface of the guiding foot abuts, and two guiding strips mounted on the guiding block and each having a counter surface for abutting by a respective one of the ring intersecting surfaces of the guiding foot.