To provide a rotating electrical machine which can be easily configured at low lost, and which can highly accurately maintain an axial position (position in a thrust direction) of a rotating shaft in a prearranged position, and a machine tool, to which the rotating electrical machine is applied. A rotating electrical machine includes: a stator including a stator core; and a rotor supported on a rotating shaft supported by way of a non-contact bearing. When a section, in which a torque generation member exists in an axial direction of the rotating electrical machine, is defined as a torque generation section, a first end and a second end of the stator core in the axial direction extend outwards in the axial direction from a first end and a second end of the torque generation section at the rotor side in the axial direction. According to one aspect of the present invention, a length of the first end and the second end of the stator core extending outwards in the axial direction, from the first end and the second end of the torque generation section at the rotor side in the axial direction, is longer than a magnetic gap length of the rotating electrical machine.