The dimensionless differential equations of motion of system, which consists of the bridge with rugged surface and the vehicle with variable speeds, were derived after a tuned mass damper (TMD) was installed. The system of the simplesupported bridge with simple harmonic surface and the vehicle with uniformly variable speeds was researched. The variable regularities of the midspan dimensionless maximal deflection of the bridge were obtained with acceleration, deceleration, initial speed, mass ratio and roughness of bridge deck, and the resonance vibration was controlled by using TMD. Numerical results show that the effects of the acceleration, deceleration, initial speed and mass ratio on the bridge are very large,and the roughness of bridge deck can't be ignored because it produces the possibility of resonance vibration. The maximal amplitude of resonance vibration was reduced by TMD.