The journey of graduate students through academia can be a difficult road plagued with several roadblocks due to several intersectional factors. These difficulties often impact the students’ mental health with severe consequences on their well-being and personal and academic achievements. There is a critical need for researchers to conduct studies in response to the positive mental well-being for this group of trainees, considering their peculiar role in the scholarly environment. This study aimed to explore the scientific research on the health and well-being of graduate students; typify the scientific landscape and development trajectory, cooperation networks, and fundamental research areas; and identify areas of needed research in this field. A bibliometric analysis of articles indexed in Scopus and published in the past decade (2012 to 2021) was undertaken. The results revealed that the research on graduate students’ mental health and well-being has increased over the years, significantly in the past two years, probably owing to the incidence of the COVID-19 pandemic and concerns around remote learning. The highest number of publications was from the United Kingdom (U.K.) and United States (U.S.), while the organizational affiliations were mainly from universities. The most prominent source type of publications was journal articles. The result also shows a weak collaboration across countries and organizations. The study identifies other areas of useful research, collaboration, intervention strategies, and policy review.