To explore the influence of the curved surface radius of friction pendulum support on the seismic response of continuous beam bridge, based on a continuous beam bridge with a span of (83+143+83) m on a first-class highway, a finite element model is established. Five different support schemes with different surface radius are set up. The seismic response results of dynamic characteristics, longitudinal and transverse pier internal forces and support displacements of bridges under different curved surface radius are analyzed and compared. The study shows that using friction pendulum supports with a larger curved surface radius can appropriately reduce the internal forces of the substructure, while using supports with a smaller curved surface radius can effectively reduce the sliding displacement between the piers and the beams. Therefore, in practical engineering, an appropriate balance between the forces on the substructure and the displacement between the piers and beams is needed to meet the actual seismic requirements of the bridge.