Motor spindle having a first electromagnetic drive system, wherein a stator unit and a rotor unit, which is rotatable about an axis of rotation and has at least one rotor shaft and a tool receptacle (13, 14) for receiving a machining tool (30, 31), are provided, wherein at least one mounting unit (10, 11) is provided for rotatably mounting the rotor unit in the stator unit, wherein the tool receptacle (13, 14) is arranged in an end region of the rotor unit, wherein the stator unit has at least one stator housing that comprises an end portion arranged at least in the end region of the rotor unit, wherein the stator unit comprises at least one motor having a second electromagnetic drive system and having a stator and a rotatable rotor, wherein the rotor has at least one rotatable housing element of the end portion of the stator unit, which housing element can be driven by the stator, wherein the rotatable housing element comprises at least one rotatable end face of the end portion, characterized - in that the rotatable housing element and/or the rotatable end face of the end portion are/is in the form of a tool holder (13, 14) for holding the machining tool (30, 31), - and in that the housing element and/or the rotatable end face have/has a recess and/or abutment surface for the machining tool (30, 31), - and in that the housing element and/or the rotatable recess and/or abutment surface for the machining tool (30, 31) are/is arranged on the circumference or circumferential surface of the end portion that is aligned/exposed in a radial direction, - and in that the rotatable housing element and/or the rotatable end face of the end portion are/is at least partially arranged between the mounting unit and an end face of the end region of the rotor unit, in particular of the tool receptacle (13, 14), in the direction of the axis of rotation, - and in that the second electromagnetic drive system is at least partially arranged between the end face of the end portion and a connection flange, intended for fixing the stator unit to a headstock, in the direction of the axis of rotation, - and in that the first electromagnetic drive system is at least partially arranged between the mounting unit and at least one mounting device for rotatably mounting the rotor unit in the stator unit. - in that the rotatable housing element and/or the rotatable end face of the end portion are/is in the form of a tool holder (13, 14) for holding the machining tool (30, 31), - and in that the housing element and/or the rotatable end face have/has a recess and/or abutment surface for the machining tool (30, 31), - and in that the housing element and/or the rotatable recess and/or abutment surface for the machining tool (30, 31) are/is arranged on the circumference or circumferential surface of the end portion that is aligned/exposed in a radial direction, - and in that the rotatable housing element and/or the rotatable end face of the end portion are/is at least partially arranged between the mounting unit and an end face of the end region of the rotor unit, in particular of the tool receptacle (13, 14), in the direction of the axis of rotation, - and in that the second electromagnetic drive system is at least partially arranged between the end face of the end portion and a connection flange, intended for fixing the stator unit to a headstock, in the direction of the axis of rotation, - and in that the first electromagnetic drive system is at least partially arranged between the mounting unit and at least one mounting device for rotatably mounting the rotor unit in the stator unit.