In this study, the impact responses and damage behaviors of CF/Epoxy(Carbon Fiber/Epoxy Resin) composite laminates have been studied considering the effects of various curvature radius. During the impact, the impactor's kinetic energy is consumed by the rebound energy of the impactor, strain energy and damage energy. Most of the kinetic energy is consumed by delamination propagation including crack growth. Therefore the contact force-time and deflection-time histories were measured to determine the specimen response. All specimens were visually evaluated for damage after testing, and the non-destructive method(C-scan method) was used to determine the damage area. A device previously developed for impact testing of composite structures was used as the vertical free-falling testing machine. By experimenting with composite structures, we found that substantial differences in the responses of laminates subjected to either flat-plate or shell to transverse loading. And contact force, damage area and absorbed energy of the composite shells were a function of the curvature radius and impact energy.