Abstract: The invention provides a holding device for a reamer tool in a machine tool, which comprises a tool holder adapted to be secured to the machine tool for rotation about a longitudinal axis, a tool receiving bushing radially displaceably guided in the tool holder, and a coupling providing a non-rotational connection between the tool holder and the tool receiving bushing. The coupling comprises a coupling disc having two radial end faces, a first one of the coupling disc end faces cooperating with a radical end face of the tool holder, a second one of the coupling disc end faces cooperating with a radial end face of the tool receiving bushing, at least a part of the coupling disc end faces and of the tool holder and tool receiving bushing end faces being configurated as planar gliding surfaces, and pairs of the gliding surfaces facing and contacting each other for transmitting axial pushing forces to the reamer tool.