The aim of the paper is to highlight the importance of MOOC courses as a support and complement in teacher education. Online courses in the MOOC format meet the conditions to offer a possible solution to the urgent need for undergraduate and in-service teacher training in area of the digital competence that teachers have. It is necessary to develop their students’ digital literacy. However, there is almost no evidence of the effectiveness and efficiency of MOOCs for developing digital competences. The paper focuses on social science teachers who lag behind others in the use of digital technologies. It is important to create MOOC courses for the development of digital competencies and for the use of digital technologies in teaching.