High-accuracy Lagrange polynomial was employed to fit the wide-angle X-ray diffraction(WAXD) curve of(amorphous) polymer sample,from which the function of amorphous peak of the polymer was obtained.Then the function was combined with Gauss-Cauchy function for peak resolution of the WAXD profile of the polymer by nonlinear least square method.The stability of the initial value of the peak resolution program was also studied.