In order to study the influences of method of multiple scales and averaging on galloping characteristics of crescent iced conductor, firstly, the aerodynamic coefficients of iced single conductor were obtained by wind tunnel test, then the mathematical model of iced single conductor was established, the galloping equation of iced conductor was deduced, then the galloping characteristic of iced conductor was studied by combining the aerodynamic coefficients obtained by wind tunnel test. The method of multiple scales was used to study the galloping characteristics of the conductor, then the method of averaging was used to study the galloping characteristics of the conductor again. Finally, the influence of these two quantitative analysis methods on the galloping characteristics of the conductor was compared. The results show that the curve of displacement obtained by the method of multiple scales and the method of averaging basically coincides with each other, and the phase diagram basically coincides with each other; the calculation process of the method of multiple scales is complex, and the method of averaging is simple. It is concluded that the method of averaging should be the first choice for study of the galloping characteristics of single degree of freedom iced conductor.