To ensure the safety of bridges under large-scale seismic loading, “Seismic Design Specifications for Highway Bridges” requires conducting dynamic analysis on bridges that exhibit complex seismic behavior. Steel arch bridges are an example of such a classification, and there are limited data on its dynamic analysis with simulated ground motions of the Nankai Trough earthquake. Therefore, the purpose of this investigation is to verify the strain response of a steel Langer arch bridge under such seismic loading. A finite-element model of the Langer arch bridges was created, and dynamic analysis was performed to obtain the maximum strain response along the arch rib when both the design and simulated ground motions were inputted in the longitudinal and transverse direction of the bridge. In each direction, the analytical results for all ground motions showed similar strain response distributions with varying magnitudes of maximum strain along the arch rib.