<p>This study proposes Hybrid Vibration Isolator with Nonlinear Energy Sink (HVI-NES) that synergistically combines quasi-zero-stiffness (QZS) and nonlinear ineritance mechanisms (NIM) for broadband vibration control. The key innovation lies in the first integration of NES with a QZS-NIM hybrid system to address the dual challenges of resonance peak shifts in QZS isolators and response amplification in NIM-enhanced systems. Analytical solutions for amplitude-frequency response and force transmissibility are systematically derived through harmonic balance method with arc-length continuation, validated by numerical simulations. Parametric studies reveal that the optimally tuned NES effectively suppresses resonance peaks while maintaining broadband isolation capabilities. Comparative analysis demonstrates the proposed system's superior performance over conventional QZS and NIM configurations, particularly in mitigating hardening nonlinearity effects and expanding effective isolation bandwidth. The established design rules for NES parameters provide practical guidance for implementing this hybrid vibration control strategy.</p>