The complex magnetic susceptibility of as-quenched and proton irradiated amorphous ribons of $FE_{81}B_{13.5}Si_{3.5}C_2$ was measured in the frequency range 10 KHz~ 10 MHz. The frequency spectra of real and imaginary parts of susceptibility showed a typical Debye-type relaxation. Relatively high relaxtion frequency, ~3 MHz observed in the present work suggented that domain rotation is involved in the relaxation process. The susceptibility at the low frequency decreased with the irradiation, while that at high frequency increased due to the increasing defect density. The relaxation frequency of domain roation shifted toward higher frequency, due to the increasing pinning force against domain motion by the irradiation.