As part of this work, structural investigations were carried out on rapidly-cooled alloys with the following chemical compositions: Fe60Co10Y8−xNi2+xB20 (where x = 0, 1). X-ray diffraction studies confirmed that the tested materials have an amorphous structure. This structure is characterized by absence of long-range atomic order, in the contexts of angularity and periodicity. Therefore, these materials should exhibit different magnetic properties, compared with those of their crystalline counterparts. In the electrical power and electronics industries, there is a constant demand for materials with better and better properties. The main considerations of applicability are economics and environmental protection. The deciding parameter, determining the usefulness of ferromagnetic alloys in electrotechnical devices and considering economics and ecology, is their low losses on remagnetization. For the produced alloys, described in this paper, a series of loss tests for remagnetization at different frequencies was carried out. The losses for remagnetization -pertaining to the hysteresis loop -and additional losses were determined.