Based on extensive literature review the behaviour of concrete under wide range of compressive and tensile strain rates is presented. The dynamic compressive strength of concrete can achieve the value of DIF (dynamic increase factor) equal about 3.5, and the dynamic tensile strength even 13. However, the strain rate response of concrete in tension and compression in all range of strain rate differs much. In compression strain rate sensitivity should be investigated in two domains, because of the shift of test results. The reason of division is probably connected with influence of the method of testing and especially with the specimen shape and size. The article presents also the strain rate sensitivity of new types of cement-based materials, like RPC, which appears not to differ much from the sensitivity of normal concrete.