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In this research, we integrate a three-dimensional micro-/nano-lattice structure metamaterial with conventional helical gears using a composite method to reduce the vibration. A comprehensive six-degree-of-freedom nonlinear dynamics model is constructed to analyze the vibration characteristics of the resulting mechanical metamaterial gear pair. The model incorporates crucial factors such as meshing damping, error excitation, bearing support stiffness, and time-varying meshing stiffness using the dynamic–static method. The results demonstrate the good damping effect of the designed mechanical metamaterial on gear pair vibrations. This research provides theoretical insights for reducing vibrations in gear transmission systems by using mechanical metamaterial.