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To investigate the interactions between external resonant magnetic perturbations (RMPs) and a tokamak plasma, a set of saddle coils are designed for the J-TEXT. A method for designing RMP field structure based on Fourier transform is used in this paper. Since the coils will be mounted inside the vacuum vessel where the pressure is about 10-7, an airproof multi-layer structure is adopted to avoid contaminating the vacuum environment. Besides, stress and thermal analysis and the AC response of magnetic field are also given.