Hysteresis loops were measured for as-quenched Fe60Ni20B18Si2 and Co74Fe6B20 amorphous ribbons using an induction method. with direct current (J) flowing along the samples. The decrease of the coercive field (H(c)) and the maximum magnetization (M(m)) reached at a certain amplitude of the applied field (H) as a function of the current was investigated. In addition, the influence of an alternating current on the process of magnetization of the samples was investigated. The splitting of peaks in the derivative of magnetization with a time (M ) versus H curve was also investigated. The experimental results show that the reversible rotation of magnetization is responsible for the decrease of M(m). A linear variation of H(c) with J was observed for low J, whereas for higher J this linearity vanishes. The observed non-linear decrease of H(c) with J for high J and the peak splitting of M can be explained by local variation of the direction of magnetization in the samples and by the reversible rotation of magnetization when J is applied.