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The general 3D vector potential FEM formulations of non‐linear anisotropic magnetostatic field have been derived by using the dyadic analysis in this paper. The Newton‐Raphson method and improved ICCG algorithm are used for the 3D non‐linear anisotropic magnetostatic field computation. The 3D magnetic field in a reactor, the inductance and the voltage‐current characteristic (V‐I curve) of the reactor are calculated. The harmonic components under 1.35 times rated voltage are analyzed by the calculated V‐I curve. The calculated results are quite satisfactory when compared with the measurement ones.