The guide bushing (1) for a machine tool, especially for an automatic lathe, includes at least two segments (2), each segment being connected on both sides to a neighboring segment by an elastic means (3) in order to form an axisymmetric body of axis (1A) and has a central opening (10) enabling a bar to be machined to pass through, each of the elastic means (3) extends axially along the axis (1A) in a groove (8) of the guide bushing.