Abstract: On the basis of the frequency response function H(ω) of the power saw system, this paper thoroughly expounds the establishment and simplification of the mechanic model of this system. The fourier transformation method is used to find the differential equation of constant coefficient. Electronic computers are used to help make optimum designs for the mass, vigidity and distribution of the power saw system so that the H(ω) of the vibrating band, which is the most sensitive to human bodies, is less than one.