This paper is intended to evaluate the effectiveness of shock absorber devices installed between roller bearing and stopper on reducing viaduct damages. In particular, the effect of shock absorber device's stiffness on mitigating viaduct damage is focused on in this analysis. For such purpose, the viaduct seismic performance is evaluated considering four different stiffnesses of the shock absorber device combined with a kind of viscous damper, which leads to five cases including the case without shock absorber device. Deck unseating damage, pounding forces between roller bearing and stopper, pier damage, displacement of superstructures and bending moment-curvature relationship are evaluated in this paper. Based on the numerical results, the application of shock absorber devices on viaduct, especially with large stiffness, can significantly reduce the seismic damages of the curved viaduct during great earthquakes.