The distribution of magnetic field within horizontal cold crucible around coil without load was simulated by finite element method.The simulating results showed that magnetic flux density decreased from coil or cold crucible inner surface to the center along radial direction, and magnetic intensity was the strongest at the center of coils and then gradually attenuated as the distance away from the center along axial direction.The magnetic field intensity reduced to some extent when the cold crucible was used although that may be compensated by the surface inducing current of cold crucible.The mistake could be modified by using magnetic materials outside the coil.The magnetic field was focused around the coil and that was fit for zone refining.Then, after the resign of cold crucible and coil, especially the coil was wrapping with magnetic materials, the magnetic field was optimized and molten zone may be levitated for further vaccum refining.These simulation results will provide theoretical reference for optimization design and fabrication of cold crucible and coil.