Ice-shedding jump is one of the common types of ice-induced disasters in overhead transmission lines. In this paper, the influence of orthogonal double pendulum mass damper (a new type of vibration suppression device) on the ice-shedding jump vibration characteristics of iced overhead single conductor is studied. Specifically, the basic principle of the orthogonal double pendulum mass damper to suppress the ice-shedding jump is first described. Then a finite element mechanical analysis system integrating conductors, insulators, ice layer and damper is constructed. Finally, based on the simulation results, the effect of three core parameters of the damper (mass, pendulum length and arm length) on the ice-shedding jump vibration characteristics of overhead conductors are analyzed. The conclusion obtained is: The mass has an effect on the vibration in both vertical and horizontal directions; The pendulum length mainly affects the horizontal vibration and the arm length mainly affects the vertical vibration. The research results can provide guidance for the design of orthogonal double pendulum mass damper applied to actual transmission lines.