It is shown that amorphous alloys of the Fe-Nb-Si-B-Cu system are practically not used as soft-magnetic materials in the initial (freshly quenching) state. It is proposed to perform post-quenching annealing of products to improve the soft-magnetic properties. Annealing modes, which remove winding and quenching stresses are studied. Is established the optimal annealing mode, in which a favorable structure is formed. It is an amorphous alloy-nanocrystal composition. This composition can significantly increase the magnetic permeability, reduce the coercive force and the loss of magnetization reversal. This treatment will provide optimal performance characteristics for the amorphous alloy used. The paper studies and compares the magnetic properties of the amorphous alloy-nanocrystal composition obtained at different annealing temperatures. It is shown that the most significant comparison is the dependence of the magnetic induction B (Tl) by the magnetic field strength H (A/m).