Considering strongly nonlinear characteristic of iced conductor rotating around its center of mass in the wind-deviation plane, two dynamic equations are constructed by using Den. Hartog criterion and O. Nigol criterion, and galloping characteristics between them are studied, which can provide references for constructing correct iced conductor galloping models. By comparative analysis of two models, the vibration frequency of O. Nigol model is slightly higher than that of Den. Hartog model, and the amplitude of O. Nigol model is smaller. Then the stability of iced conductor galloping and the effects of parameters on galloping amplitude are discussed, from which can conclude that the trends of two models varying with parameters are basically identical. But for numerical, O. Nigol model is more accurate.