In this paper, firstly, based on the fractal theory, Hertz contact theory and fractal network, the prediction model of the ECR for rough interface is established in consideration of the modified hypothesis, 3-D interface topography and elastic-plastic deformation. Secondly, using the engineering data of material, the influences of fractal dimension D, fractal roughness G , dimensionless loading force F* and friction coefficient μ on the ECR are analyzed by numerical simulation. Finally, compared with the classical models, the tendency of established model is same as that of other models. During the design stage of electrical equipment, the present model of the ECR can provide a theoretical reference for the accurate ECR prediction of rough interface.