For bridges that are near-fault or crossing-fault, the ground motion that causes hazards can be categorized into short-term transient displacement and long-term creep displacement. The hazard cause by former can be characterized by accumulated energy dissipation in a short time and a conspicuous velocity-impulse behavior, and the latter can be distinguished for gradual deformation of structure due to long-term creep. However, both could induce adverse relative displacement between superstructure and substructure, and the structural members could damage or even progressive collapse while the displacement demand is less than the design capacity. In this paper, a case study of the Yu-Li Bridge was conducted to investigate the effect of long-term creep on the seismic behavior of bridges. A three-dimensional finite element model that incorporates both the whole bridge and the surrounding soil was established to take the soil-structure interaction effect into account directly. Using this model, nonlinear static analyses were performed to obtain the seismic responses of the bridge due to incremental displacement of the Chihshang fault. By a meaningful comparison with historic measured data, the seismic response and future development of the bridge associated with ground motion are both discussed. It is expected that the research results could provide useful and practical perception to those who are interested in the domains of near-fault or cross-fault ground research.