A nonlinear energy sink is a promising passive vibration reduction device. Giant magnetostrictive material can be used to harvest vibratory energy with high energy density. The present talk devotes to integrating a nonlinear energy sink and a giant magnetostrictive material energy harvester for a satellite with an adapter. A conceptual prototype of a NES-GMM device is proposed to reduce vibration via a nonlinear energy sink and to harvest energy via the Villari effect of giant magnetostrictive material. Its mathematical model is a set of differential/algebraic equations. A complexification-averaging approach is developed to analyze the differential/ algebraic equations. The NES-GMM device is experimentally embedded in a scaled model of a satellite with an adapter. The scaled model consists of a mass and a conical frustum shell. Its equivalent simplified model is worked out based on finite element simulations. The complexification-averaging analysis is performed on the scaled model embedded by the NES-GMM device, and the analytical outcomes are numerically validated. The changing trend predicted by the analysis is consistent with the experimental results. The investigation demonstrates that the proposed NES-GMM device can significantly reduce the resonant peak and produce maximum 4V electricity, while the deivce hardly change the resonant frequencies of the satellite with an adapter.