Nyaungwa worked as a tutor in the department of political science and international studies, and as a research assistant in the community engagement division. He completed his honours degree in political and international studies in 2018.
Police spokesperson Captain Mali Govender said the 23-year-old fell to his death at a block of flats.
Govender said an inquest docket had been opened.
Last year, issues around suicide and depression at universities were highlighted when 23-year-old Rhodes law student Khensani Maseko took her life. A Wits University student committed suicide and another was rushed to hospital following a suicide attempt. The two incidents happened within 24 hours of each other.