Measurement of the magneto-mechanical parameters characteristics of amorphous ribbons often requires complex or limited methods due to their very small thickness. In this paper, it is shown how one can establish and estimate the characteristics of a magnetostrictive resonator from the experimental frequency response free of any kind of mechanical measurement (stress or elongation). This technique which is completely developed with a ribbon exhibiting good resonator properties, is suitable to estimate the magneto-mechanical coupling coefficient k33 and the Young's modulus and also to establish the magnetostriction curves λ(H) of amorphous ribbons. Results obtained from resonators made of 2605SC and 2826 from Metglas(TM) ribbons confirmed the validity of the present technique. However, measurements performed on a thin foil of nickel demonstrate that the present method cannot be extended to semi-soft magnetic materials. The technique which is proposed, has serious advantages upon others as it is non-destructive, low cost and easy to develop compared to common ones.