In order to obtain accurate actuating force and actuating moment of MFC(macro fiber composite) on arc-plate structures and improve the vibration control effect of MFC, we present a calculation method of MFC arc-plate structure actuating equation. On the basis of the first kind of piezoelectric basic equations, considering the compound effect between MFC and the controlled structure and the influence of arc-plane structure curvature on MFC, we establish the P1-type MFC coupled-plate structure actuating equation and obtain the actuating force and actuating moment of MFC on arc-plate structure. By comparing the model's results with the official data, it's found the deviation is less than 4%. The vibration control experiment of MFC coupled-plate structure is completed, and the deviation between the simulation results and the experimental results is less than 8.5%, which indicates that the P1-type MFC actuating equation is correct. The P1-type MFC actuating equation can be used in the simulation calculation of vibration control for the MFC arc-plate structure.