n structural engineering, the damping device is the best way to equip the structure for resisting earthquakes. The newly developed displacement dependent semi-active hydraulic damper (DSHD) is a kind of hydraulic damper to reduce the structural response. The DSHD is a fixture connecting the brace and the structure. At a seismic loading, the DSHD is functioned to dissipate the energy at the transition of bracing from the tensile constraint to the compressive constraint or in reverse. When a structure suffers a large seismic excitation, the overflow function is triggered to prevent the failure of a bracing member. That is, at the stress in the linked brace reaching a certain value, it will start the opening of the overflow valve maintaining an aptotic pressure for confining the bracing deformation within the design value. This DSHD provides availability for resisting excessive vibration in the structural design. In this paper, the analysis modeling is set up for simulating the nonlinear behavior of DSHD. The performance of DSHD is investigated in the nonlinear analysis for seismic evaluation.