Aiming at the collision phenomenon of the curved continuous girder bridge under the earthquake, the three-dimensional finite element model is established considering the collision element between the abutment and the end beam. Using the nonlinear time-integration method, the simulation analysis on the collision with implicit contact algorithm is used, and the collision law at expansion joints of curved gride bridge is studied. The results indicate that the shear forces and bending moments of piers with different heights are different. The collision force at the central part of the cross-section is small, and it gradually increases toward both sides of the cross-section with parabola. The outer collision force is bigger than the inner collision force, and the response of Elcentro ground motion is more obvious than that of Tianjin. The results may serve as a reference for seismic design of curved continuous bridges.