A tool changer for a lathe with inclined bed has at a ram (3) that is movable into the lathe a first guideway (6) running parallel to the plane of the machine bed (5). On the first guideway (6) there is a tool changer head (7) holding a double gripper head (10) that is pivotable about an axis (11) arranged rectangularly to the plane of the machine bed (5) and movable along a guide (9) rectangularly to the plane of the machine bed (5). This enables the tool changer (4) to serve upper and lower carriages with different tool-systems and to shift magazine ledges.