The aim of this study is to contribute to a better understanding of the properties, structure and crystallization process of the amorphous Fe-based ribbon with the following chemical compositions: Fe80SixB20-x (x=5,6,8) and Fe75Si15B10. Thermal analysis, including Differential Scanning Calorimetry and Magnetic-Thermogravimetric Analysis, were used to shed light in the thermal stability and structural changes taking place during the transformation from the amorphous state to the crystalline state. The arising microstructure was observed via X-ray diffraction. Finally, Magnetic Barkhausen Noise measurements took place so as conclusions to be derived relevant to the dependence between the parameters of the Magnetic Barkhausen Noise and the chemical composition of the amorphous ribbons.