The seismic response of curved girder bridge is more complex because of its irregular plane shape, therefore, the systematic study of an effective seismic mitigation method is required. In this article, the three-dimensional computational model of a double-pier curved continuous girder bridge is established and viscous dampers are added at the positions of sliding bearings. The full-bridge seismic response absorption effect is analyzed with the viscous dampers damping method under three ground motions of different frequency spectrum characteristic, and each ground motion contains three-direction. The results show that viscous dampers can reduce the difference of internal force between inner pier and outer pier in double-pier curved bridge, and it can also effectively reduce the bending and twisting coupling effect of curved bridge. But viscous dampers are sensitive to seismic spectrum to some degree, therefore seismic response absorption effect and sensitivity should be considered comprehensively when viscous dampers are selected.