Despite the efforts made, there is still an alarming difference between the digital competence that teachers have and the one they should have in order to develop their students' digital competence. The lack of teacher training in safe and responsible use of ICT is a special cause for concern. Online courses in MOOC format meet all the required conditions to offer a possible solution to the unavoidable and urgent need for initial and in-service teacher training in this area of digital competence. However, there is currently no evidence in the literature on the effectiveness of these courses for this purpose. This study examines the instructional effectiveness of courses in MOOC format for teacher training in the safe and responsible use of ICT by analysing three different official courses. The courses were analysed using three different methods: a questionnaire to measure participants' perceptions, pre-tests and post-tests to measure the knowledge acquired, and LORI (Learning Object Review Instrument) to measure the quality of digital educational resources created by the participants. The results suggest that online courses in MOOC format are an effective way to train teachers in the safe and responsible use of ICT, and that these courses can enable the development of digital competence in the area of content creation.