Many works are related to the analysis and control of either continuous or else discrete time-delay systems. However, the discretization of continuous time-delay systems has not been extensively studied. In this work, sampled-data time-delay systems with internal and external point delays are described by approximate discrete time-delay systems in the discrete domain. Those approximate discrete systems allow the hybrid control of time-delay systems. Several examples complete the paper, showing the correctness of the discretization process.