While sustainability in Design finds much attention in the literature, the education of sustainability in Design courses lacks discussion regarding curricula and importance. In an attempt to map the way sustainability is taught in Design Bachelor and Master Courses in the European Union, we began analysing faculties from a number of EU countries and present the initial results in the form of graphics, and, in addition to that, we discuss curricular contents. Furthermore, we looked at the United Nations Decade of Education for Sustainable Development 2005-2014 – an initiative that comprehends the UNECE region (that includes several EU member states), which has contributed to publications related to Design and sustainability, in order to understand how it has been (and can be)supporting the education of sustainability in Design. The purpose of this paper is to discuss the current practice in sustainability education in Design in the EU context and introduce the development of a sustainability curriculum for Design courses.