In order to establish a rational strengthening method for RC beams under consecutive impact loading, a consecutive drop-weight impact load testing of the beams with externally bonded aramid fiber-reinforced polymer (AFRP) sheets was carried out. In this paper, RC beams have a rectangular cross section of 200 mm width, 350 mm depth, and 3 m clear-span length. The axial rebar was welded to the 9 mm thick steel plate at the ends of the beams to ensure the full anchorage. Stirrups were placed at intervals of 100 mm. AFRP sheet with a mass of 415 and/or 1660 g/m2 were bonded to the tension-side surface of the beams. Impact load was applied by means of dropping a 500 kg steel weight from the predetermined height. The height was increased in order of 1, 2, and 3 m up to the corresponding ultimate state of the beam. The results obtained from this study were as follows: (1) maximum and residual deflections were effectively decreased by strengthening with AFRP sheets and permanent deformation near the loading point of the beams can be restrained; (2) in the case of strengthening with the AFRP sheet having relatively small mass, the beams reach the ultimate state due to sheet rupturing; and (3) in the case of strengthening with large mass, the beams reach the ultimate state with sheet debonding mode.