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We have studied the influence of surface fields Hp (generated by either direct or alternating core current) on soft magnetic properties of amorphous and nanocrystalline Fe73.5Cu1Nb3Si15.5B7 ribbon. While in an amorphous ribbon the coercive field Hc decreases with Hp, in the same optimally annealed ribbon (Hc=1.3 A/m, Mm≈Ms) Hc increases with Hp for all the explored types of Hp (static and dynamic with different phases with respect to that of the magnetizing field H). The unexpected increase of Hc in nanocrystalline ribbon is associated with the influence of Hp on the surface and main (inner) domain structure. Here, we develop a model that takes into account this influence and explains the experimental results.