Conventional Tuned Liquid Column Dampers effectively mitigate structural vibrations; however, their efficacy is limited by the need for supplementary static mass, which escalates costs and complicates adaptability. This work presents a novel solution: Nonlinear Inertial Amplifier Liquid Column Dampers, which improve vibration attenuation without augmenting static mass. The suggested system is implemented on a single-degree-of-freedom framework, with its governing equations determined by Newton's second law and Lagrange's approach. The optimal design parameters are derived using H2 and H∞ optimisation methods. Results indicate that nonlinear inertial amplifier liquid column dampers much exceed the performance of conventional tuned liquid column dampers and inerter-based tuned liquid column dampers, attaining a dynamic response reduction of up to 83.60% and 82.11%. The closed-form solutions and parametric analyses validate the efficacy of this method, establishing nonlinear inertial amplifier liquid column dampers as a potential technique for enhancing structural resilience in civil engineering applications.