Under earthquake action there are irregular rotating displacements in the curved girder bridge, and the effective seismic mitigation method for curved bridge need to be systematically studied. The spatial finite element model is established for a curved continuous girder bridge with double-column piers. Energy dissipation dampers including E-steel dampers, viscous dampers, friction pendulum bearings and lead rubber bearings are set in radial and tangent directions of the curve at the positions of active bearings. The seismic mitigation effectiveness and seismic response characteristics of the curved girder bridge are calculated and analyzed with the four energy dissipation approaches under three dimensional ground motion action. The results indicate that the four energy dissipation approaches can all effectively reduce the bending moments and torsional moments at the bottom of piers, and the bending torsion coupling effect of the curved girder bridge is decreased a bit. The difference of internal force for inside and outside piers is reduced after the dampers set for the curved girder bridge with double-column piers. Relatively, the viscous damper approach can further reduce the whole seismic responses of curved continuous girder bridge, and is an excellent seismic mitigation method suitable for curved girder bridge.