From the analysing of the relaxation curves of magnetic annealing induced anisotropy of three cobalt based metal glasses, a linear relationship between the width of lognormal distribution of relaxation times (β) and the reciprocal temperature (1/T) has been established. This result implies that, in the process of relaxation, both Inτ0 and activation energy E obey the Gaussian distribution. The width of distribution for Inτ0 and E have been estimated.