Sustainable Development Goals and the targets described in each of them can only be fully achieved with the commitment and involvement of universities. These institutions are the perfect environment to promote and enhance sustainable human development, in such a way that from their own structure and operation they favor the transition towards the building of peaceful, fair, and inclusive societies. To achieve the goals described in SDG4, universities must address three areas in a combined and parallel way: “Institutional Management and Governance”, “Education”, and “Leadership”. Following the development of four quantitative and qualitative studies that address these areas individually, the main common conclusions are presented, aimed at showing the path that the university system must follow to achieve these goals within 10 years. The results reveal the need to the focus on the development of an inclusive university culture based on the foundations of each institution (mission, vision, and values), as well as the need to strengthen the link with the NGO sector. Similarly, this inclusive culture must be transversal in university strategic plans to ensure that all actions developed in this context are aligned with the precepts of the 2030 Agenda.