An analytical model for describing the effectiveness of Tuned Liquid Damper (TLD) with submerged nets for suppressing horizontal vibration of structures is proposed. Dissipation energy due to the liquid motion under sinusoidal excitations is calculated based on nonlinear shallow water wave theory. In particular, the effects of hydraulic resistance produced by nets installed in a tank on the performance of TLDs are examined. The results of dissipation energy theoretically obtained are confirmed by experiments. To show the effectiveness of the proposed analytical model for TLD-structure interaction problems, the case in which TLD with nets is installed on top of a pylon of a cable-stayed bridge is described and the calculated results are compared with the experimental data. In the calculation, it is shown that the optimal damping factor as is the case for tuned mass dampers (TMD) can be produced by the nets and the effectiveness of TLD with nets are demonstrated.