The kinetic behavior of the isothermal relaxation of the magnetic permeability has been investigated for the amorphous Fe82Si5B13 alloy in the range 0-300℃. Four relaxation peaks are observed on the isochronal relaxation spectrum for as-quenched alloy. The overale relaxation usally consists of both the ordinary disaccommodation and the continuous permeability decay, they are reversible and irreversible with respect to demagnetization, respectively. The calculations or the distributions of the relaxation time and the activation energy show that they have a broad distribution. The most probable activation energies for disaccommodation and decay are about 1.0 eV and 1.4 eV, respectively. A cross-over effect in the decay is observed for annealed sample.