Abstract: An hybrid scheme comprised of Nonlinear Energy Sinks (NES) and Tuned Mass Damper(TMD) is proposed to suppress the vibration of the structure. The equation of slow dynamics system and the analytical energy prediction equation are formulated using the complex-averaging method and the multi-scale method. The derived energy equation shows cubic function relationship in the energy between main structure and NES, and linear relationship between TMD and main structure. The numerical simulation indicates that the phenomenon of targeted energy transfer can be produced quickly in NES of the hybrid system, and high energy consumption rate is achieved in the whole system compared with the pure NES control; It is also demonstrated that theoretical analysis is correct since the curves of numerical calculations vary around the analytical prediction values; Besides, not only wide frequency band but also low sensitivity can be obtained by the hybrid scheme because of its good robustness.