Digital fabrication with concrete (DFC) is a dynamic and rapidly developing area. In the last five years in particular, remarkable progress has been made. The variety of approaches used and both the opportunities and challenges associated with them is overwhelming. This contribution offers a critical overview of the current state of the art in the field of the DFC, with a focus on the additive manufacturing processes with concrete (also called 3D concrete printing) and formulates the research needs. In addition to a reflection on the international state of the development of 3D concrete printing technologies, a classification framework for DFC processes is presented and the most important terms are defined. Then, the authors deal with the material testing of printable or printed fresh, hardening and hardened concrete. Futher focuses are the suitable types of reinforcement and the classification of the technological approaches to integrate reinforcement in DFC processes. Finally, the special features of the design and dimensioning of additively manufactured components are presented and discussed.