Bibliometric methods are used to access various elements in any data set. Similarly, this study uses a bibliometric method to evaluate the research performance of the University of the Punjab (PU), the oldest university of Pakistan. A peer university from a neighboring country, India, has been selected in this study along with three state-owned universities of Pakistan. The research yield of selected universities was analyzed since their establishment until 2019. The data were retrieved from the Scopus database in February 2020. The guidelines of the Carnegie Classification of Institutions of Higher Education were used to select the peer universities. It has been analyzed that steady progress in research productivity was observed during the 20th century and in the last few years of the 19th century. A focus shift was observed with the onset of the 21st century and a rapid increase in research publications was observed in Pakistani universities. Around 92% of research studies of the University of the Punjab were carried out during the first 20 years of the 21st century and it leads the compared peer universities in terms of the number of research publications and the citations. It is also analyzed that there is a tendency among the authors of studied universities to publish their research articles in subscription-based journals. The authors affiliated with the University of the Punjab are more inclined to publish their research in open access journals as compared to the researchers of other studied universities. It is also observed that publications with single authors received a low average of citations per document while the publications with six or more authors had the highest average citations. The study recommends collaborative efforts for carrying out research and publication in open access journals is encouraged because of greater visibility, access, and impact.