When a vehicle crosses the curved bridge, the vibration of the curved bridge is mainly caused by threedirection traffic loads and bendingtorsion couplingeffects. In this paper, the finite element model of a fivespan continuous curved box girder bridgewas establishedby employing ABAQUS, and a full vehicle model of the threeaxle heavyduty truck was established by using Adams. Six tire forces under different working conditions were calculated, applied onto the curved bridge by developing two subroutines DLOAD and UTRACLOAD . The vibration responses of the curved girder bridge with different curvature radius were calculated under different vehicle speeds, traffic loads and road irregularities. The results showed that with the increase in the curvature radius, the transverse displacement of the bridge at midspan decreases slightly, while the vehicle speed has a significant impact on the transverse displacement and support reaction.Moreover, the higher the grade of road roughness is, the greater the vertical deflection and bending moment of the bridge are.