The Magnetic-Moment-Free Coil is composed of several pairs of coils, which are installed in a certain geometric structure, and of which the certain number of coil turns and a certain current direction make the magnetic field outside the Magnetic-Moment-Free Coil attenuate rapidly and make the magnetic moment of the Magnetic-Moment-Free Coil be zero. One of outstanding advantages of the moment-free coil is that it does not produce magnetic interference to the environment outside a certain distance from the Magnetic-Moment-Free coil during operation, which means that it is very significant for the simultaneous operation of multiple systems; In addition, the moment-free coil does not magnetize the adjacent magnetic substance, therefore, it does not bring extra errors to the moment-free coil in this respect.