In order to study the effect of two modifiers of NRP and SBS mixed with high viscosity agents on the dynamic performance of AC-13 asphalt concrete at medium and high strain rates， the paper used SHPB device to carry out impact compression tests. The failure modes and stress-strain curves of different modified asphalt concretes are obtained. Research shows that the dynamic stress-strain curve of asphalt concrete is divided into three stages： elastic deformation， plastic strengthening and plastic failure， and the failure modes are divided into four types： crack， damage， block crack and fragmentation； both modifiers can improve asphalt concrete. The impact resistance of NRP has a certain impact on the peak stress and strain rate sensitivity of impact toughness. In different strain rate ranges， the two modifiers have different impact toughness enhancement effects. NRP has better peak stress enhancement effect than doped high viscosity. When the strain rate exceeds 130/s， the elastic modulus of asphalt concrete will degenerate， and NRP can improve the elastic modulus.