On the basis of core-shell structure model of amorphous wires, for Fe-based amorphous wire we consider that there are an axial anisotropy Kc in the core and a radial anisotropy Ks in the shell, both of Kc and Ks are functions of λs and σ0,the constants of stress energy density. We deduce the ac circular permeability μφ(r) and calculate the anomaly factor of low-frequency eddy-current-loss for this model,η=2.2, from Maxwell equation and Ohm's law. Comparison of the theoretical value with the experimental results indicates that the magnetic structure of Fe-based amorphous wires can be well described by this improved core-shell structure model.