<p>To enhance the seismic resilience of liquid storage tanks (LSTs) under multi-dimensional earthquake actions, this work analyzes the performance of three-dimensional (3D) isolation device for such tanks subjected to horizontal-rocking coupled seismic excitations. Seven near-field and far-field seismic waves are selected, and the rocking component is obtained based on the frequency domain theory. A numerical model for 3D-isolated LSTs is established, accounting for liquid-solid coupling effect. The results show that the rocking component has a significant impact on the non-isolated LST, and the 3D-isolation system effectively suppresses the amplification effect of the rocking component on dynamic responses, substantially diminishing the effective stress, hoop stress, axial stress, and liquid pressure on the tank wall, with a seismic reduction rate of around 40%, hence mitigating the risk of local instability. Compared with rubber isolation, 3D-isolation is less affected by the rocking component, and its seismic isolation performance is significantly improved. Beyond the sloshing wave height, the parameter study reveals that an increase in liquid storage height and height-diameter ratio exacerbates the dynamic responses of non-isolated LST and amplifies the rocking component influence, largely due to heightened liquid inertia and structural slenderness. The 3D-isolation system demonstrates excellent adaptability across various conditions, particularly in mitigating stress concentration and liquid sloshing for tanks with high liquid level and large height-diameter ratio. The research offers a novel methodology for the seismic design of LST subjected to intricate seismic circumstances.</p>