A closed detached response due to the resonance response interaction has a critical effect on vibration isolation and energy harvesting. In this paper, a promising novel approach by integrating a lever-type nonlinear energy sink (LNES) and a giant magnetostrictive-piezoelectric (GMP) energy harvester (LNES-GMP) for vibration isolation and energy harvesting is investigated. The method of harmonic balance is applied to trace the response and voltage of the system, and numerical results support the harmonic solutions. It can be noted that the occurrence of closed detached resonance response could dramatically increase the voltage of the system. Moreover, the structure of the LNES-GMP, such as the mass, nonlinear stiffness, and fulcrum location may influence the efficiency of vibration isolation and energy harvesting. Lastly, with an appropriate fulcrum location, the performance of the LNES-GMP, which contains less attached mass, is more improved than the traditional NES-GMP. (C) 2020 Elsevier B.V. All rights reserved.