The invention relates to a magnetic-conductive electromagnetic wire and a magnetic-conductive-electromagnetic-wire-contained slotless electric machine with low cogging torque and torque pulsation. The magnetic-conductive electromagnetic wire comprises a first insulation layer, a conducting layer, and a magnetic conduction layer. The first insulation layer has an annular structure. The conducting layer made of a copper material is arranged in the first insulation layer; and the cross section of the conducting layer has an annular structure. The magnetic conduction layer arranged in the conducting layer employs a cylindrical structure. The thickness of the first insulation layer is decided by an insulating layer and a working voltage; and the thickness of the conducting layer and the diameter of the magnetic conduction layer are set according to demands. A stator winding of a slotless electric machine is formed by magnetic-conductive electromagnetic wires; a coil of each turn is formed by a first coil side, a second coil side, a first end portion lead, and a second end portion lead; one end of the first coil side and one end of the second coil side are connected by the first end portion lead and the other ends are connected by the second end portion lead; and the first coil side and the second coil side employ the magnetic-conductive electromagnetic wire. Therefore, the number of used permanent magents of the slotless electric machine as well as an exciting current of a slotless asynchronous motor is reduced; the costs are lowered; and the performances are improved.