The magnetization of magnetostrictive amorphous wires with two fields at right angles is analyzed. Two ways to superimpose a hard-axis field on the main easy-axis drive field are considered. In the case of longitudinal magnetization a circular field created by a dc axial current is a hard-axis field. This field results in a decrease in the nucleation field which is critical for the onset of the large Barkhausen jump. Negative magnetostrictive amorphous wires with a circumferential anisotropy in the sheath can be magnetized by an axial current. In this case a longitudinal field plays the role of a hard-axis field and causes a gradual transition from almost a square loop to a linear one. This behavior is characteristic of the magneto inductive effect. The calculated results are in a good agreement with experimental data