The first part of the paper presents: the theoretical implications of Sustainable Development concept, the documents which it is based on, education for Sustainable Development and its goals, the lifelong learning and introduction of Sustainable Develompment into Croatian educational system. It is obvious that new generatons need to be prepared for a very dynamic world that is constantly changing, in which each organism plays an important role and has responsibility towards itself, others and the environment. Learning about Sustainable Development is a process of educating values and abilities whose ultimate goal is the development of a critical thinking and training students to help them make own decisions, solve problems and propose constructive and creative solutions. The second part of the paper analyzes the Curriculum of Sustainable Development as a cross-curricular topic, Science Curriculum and Science textbooks for the first and fourth grade of primary school approved by the Ministry of Science and Education. The aim of this paper was to research whether the school subject Science is focused on Sustainable Development and whether the contents of Sustainable Development as a cross-curricular topic are implemented in the school subject Science. Also, the aim of this paper was to give recommendations for specific activities for the realization of educational expectations of Sustainable Development as a cross-curicular topic that could be implemented in the teaching of Science.