The predecessor of National Taiwan University was Taihoku (Taipei) Imperial University (TIU), founded by the Japanese in 1928. The first president was Dr. Taira Shidehara. When TIU was first established, it had two colleges: the Faculty of Literature and Politics, and the Faculty of Science and Agriculture, and had a combined total of 59 students. The Faculty of Medicine and the Faculty of Engineering were added in 1935 and 1943 respectively. The Faculty of Science and Agriculture was also divided into two colleges in 1943: the Faculty of Science, and the Faculty of Agriculture.
During Taihoku Imperial University period, every college consisted of "lectures", which were conducted by a professor and included assistant professors, assistants, instructors and office employees. In 1945, the five colleges had 114 lectures with 382 students.
After World War II and Taiwan's retrocession to Chinese Sovereignty, the R.O.C. government completed the taking-over work officially on November 15, 1945, with Dr. Tsung-lo Lo serving as the first president, and reorganized and renamed the school "National Taiwan University". The Faculty of Literature and Policitcs of TIU was divided into two colleges: the College of Liberal Arts and the College of Law. The University thus consisted of six colleges (Liberal Arts, Law, Science, Medicine, Engineering, and Agriculture) and had twenty-two departments with 500 odd students. The Evening Division, the College of Management, the College of Public Health, and the College of Electrical Engineering (renamed as the College of Electrical Engineering and Computer Science in 2000) were established respectively in 1967, 1987, 1993, and 1997. In 1999, the College of Social Sciences replaced the College of Law, and the Department of Law was upgraded to become the College of Law. The evening division and the Center of Continuing Education were also combined into the Division of Continuing Education & Professional Development. In 2002, the College of Agriculture was renamed the College of Bio-Resources and Agriculture. In 2003, the College of Life Science was established. As of the academic year 2018-2019, the University has a total of 11 colleges, 3 professional schools (dentistry, veterinary medicine, and pharmacy), 56 departments, 112 graduate institutes, 18 Master’s and PhD degree programs, and over 50 research centers, including the Center for Population and Gender Studies, Center for Condensed Matter Sciences, Center for Biotechnology, Center for Japanese Studies, and Biodiversity Research Center. The number of students reached nearly 32,000 in 2018.