The ability to resist repeated impacts is necessary for protective structures. Reactive powder concrete (RPC) is a new type of ultra-high-performance concrete with very high strength and durability and is expected to be used for protective structures. The dynamic properties of RPC subjected to repeated impacts were investigated using the split Hopkinson pressure bar. The dynamic damage to the RPC was measured by ultrasonic wave velocity methods after each impact. Three kinds of repeated impact modes were used. The projectile speed on the first impact increased in the different modes to ensure the specimens had different initial levels of damage. A Viscoelastic Damage Model was proposed to simulate the stress-strain curves of RPC subjected to repeated impacts. The fracture process of RPC was simulated using the Johnson_Holmquist_Concrete (JHC) Model and the finite element software LS-DYNA. The results showed that the simulation values were very close to those of the experiments.