The Impressed current cathodic protection and structural strengthening (ICCP-SS) intervention method has been proposed to improve the durability of reinforced concrete structures using Carbon-Fabric Reinforced Cementitious Matrix (C-FRCM) composite as the strengthening and anodic material. The moment redistribution behavior of reinforced concrete continuous beams intervened by ICCP-SS is investigated in this study. An analytical model simulates the moment redistribution in continuous RC beams with or without the ICCP-SS intervention. Upon validation against test results in the literature, the model is employed to conduct a parametric study to consider the effects of corrosion of steel reinforcement, the charge density of cathodic protection, and the amount of strengthening materials on the moment redistribution behavior. The numerical results show that the continuous beams intervened by ICCP-SS can achieve sufficient moment redistribution. The moment redistribution capacity is better than FRP-strengthened continuous beams. Unified laws of behavior are proposed to take the effect of the steel corrosion and the C-FRCM strengthening into account, respectively. The ability of these structures to redistribute moments strongly depends on the degree of corrosion and the amount of CFRP meshes embedded in the C-FRCM composite, as well as the position of strengthening. Finally, the moment redistribution rate of the strengthened continuous beam can be characterized by the effect of the strengthening ratio between the negative moment position and the positive moment position.