Purpose: Population worldwide has experienced several challenges related to sustainable development, such as scarcity of natural resource, unsustainable consumption, poverty, injustice, violence, social inequality and natural disaster (including floods, tsunami and landslide). These issues interfere in sustainable development and target to achieve societal balance, structuring without compromising economic and environmental resources of future generations. The higher educational institutions are included in this context because they play a role in professional training and in education to promote sustainable practices. The higher educational institutions can assume a prominent position in the 2030 Agenda implementation for sustainable development of the United Nations, especially in the Goals 4 and 10, quality education and reduced inequalities, respectively. The purpose of this research study aims to develop a literature review and analyze the higher educational and sustainable themes, involving the Brazilian scenario. Design/methodology/approach: This research study develops a literature review based on researches that involve higher educational and sustainable themes in the Brazilian scenario. Inclusion criteria are papers in English, with the search equations in their titles, and peer-reviewed papers. Paper publication year was not an exclusion criterion. This research aimed to understand opportunity and challenge processes in the Brazilian higher educational institutions and their actions, so that the Sustainable Development Goals are completely achieved and the 2030 Agenda for sustainable development is fulfilled. For this, a research central question was established: What are the opportunities and the challenges to achieve the 2030 Agenda for sustainable development in the Brazilian higher education? Findings: A total of 636 papers were recovered. The "Higher Education AND Opportunities," "Higher Education AND Challenge," "Higher Education AND Challenges," "Higher Education AND Opportunity," "Brazilian AND Higher Education" and "Brazil AND Higher Education" search equations found, respectively, 165, 146, 131, 74, 62 and 25 papers, involving 94.8% of the total number of the papers found. The papers recovered enabled the vision of five clusters: policy; inclusion; culture; relationship; and environment, society and economy. The paper analyses found that innovation process, sustainable practical implementation and holistic look, involving professors and students, can allow the 2030 Agenda achievement. Originality/value: The authors of this research study presented a framework based on the literature analyzed through five clusters: policy; inclusion; culture; relationship; and environment, society and economy, considered from opportunity and challenge perspectives. The authors introduced and discussed the Brazilian higher educations and their opportunities and challenges. The Brazilian panorama was linked with the 2030 Agenda for sustainable development, in specific, with the Goals 4 and 10. Implications of this research study are related to the higher educational opportunities and challenges in policy, inclusive, cultural, sustainable and relationship contexts, involving governmental and nongovernmental sectors, professors and students for the Brazilian educational improvement.