In order to establish an impact resistant upgrading method for RC members, consecutive and constant low-velocity drop-weight impact loading tests for statically flexural compression failure-type RC beams strengthened in flexure with Aramid Fiber Reinforced Polymer (AFRP) sheet were conducted. A 300 kg weight was consecutively dropped until the beams reach the ultimate state. Two kinds of drop height were selected: H = 0.5 m; and 1.0 m. The results obtained from this study were as follows: (1) time histories of the dynamic responses of the beams are almost similar irrespective of number of loading times; and (2) even though the RC beams reached ultimate state due to sheet rupture under a single loading with high energy, the beams reached ultimate state due to compression failure at the upper concrete cover of the beam under consecutive and low-velocity impact loading.