A novel horizontal universal damping amplification device (HUDAD) was proposed based on the principle of leverage. The device’s structural design and operational mechanism are comprehensively detailed. A mathematical model for the restoring force of the HUDAD is derived, based on the principles of mechanical structures. To validate the amplification effect of the device and the accuracy of the restoring force model, a quasi-static test was conducted. Additionally, a finite element model was developed using ABAQUS for in-depth parameter analysis. The influences of parameters such as loading frequency, displacement direction, and displacement amplification factor on the energy consumption of the device were explored. The results demonstrated that HUDAD provided a significant displacement amplification effect and superior energy dissipation efficiency. Furthermore, the experimental hysteresis curves aligned well with the theoretical simulation results. The device exhibited obvious frequency-correlation, and the damping force increased as the loading frequency increased. The horizontal multi-directional energy-consumption performance of the device was verified through parameter analysis, with improving the efficiency of dampers.