Additive manufacturing is a technology which has the potential not only to change the way of conventional industrial manufacturing processes, adding material instead of subtracting, but also to create entirely new production and business strategies. Ceramic materials are, however, not easy to process by additive manufacturing technologies, as their processing requirements (in terms of feedstock and/or sintering) are very challenging. This article will provide an overview of the different strategies developed so far for additive manufacturing of ceramics, with a special focus on the capability of the respective technologies to produce dense monolithic ceramic parts.