The hysteretic characteristics of giant magnetoimpedance (GMI) profiles have been measured in Co-based amorphous ribbon with various anisotropy angles $ heta_k$, and they have been analyzed by using the Stoner-Wohl-farth model. Two-peaks behavior with a dip near zero field is revealed in the measured GMI profile at 10 MHz irrespective of $ heta_k$. The negligible hysteresis of the field fur the dip is close to the calculation assuming the magnetization jump from a metastable to stable state. However, the hysteretic asymmetry far the angle range of $20^circleq heta_k < 60^circ$ is well described by the divergence in the calculation without the magnetization jump. The asymmetry for $ heta_kgeq60^circ$ may be due to the divergence, but the shapes of measured profiles are quite different from the calculations with single peak near zero field, indicating that Stoner-Wohlfarth model can be well used to describe GMI characteristics for the anisotropy angle range of $20^circleq heta_k < 60^circ$at the frequency of 10 MHz in Co-based amorphous ribbons.