By using the coupling broad distribution function of relaxation activation energy in according with the fluctuation in structure of amorphous alloys, the classical activation energy spectrum model is modified, and four different forms of relaxation function are obtained. The dependence of internal friction on annealing temperature and annealing time is experimentally investigated for amorphouse alloys (Pd_(80)Si_(20) and Ni_(80)P_(20)), the streched exponent function is used to fit the decay law, M(t)= exp(-Ct~β). the dependence of exponent(β) on annealing temperature is discussed. (Correspondent: LIU Junmin, Department of Physcics, Zhongshan University, Guangzhou 510275)