The awards were planned for this Thursday at the Laucala Campus's Japan-Pacific ICT Lecture Theatre.
The university said the cancellation was due to advice from the Ministry of Health against against mass public gatherings.
The University of Fiji earlier postponed its graduation ceremony in Suva next month because of the measles outbreak.
The ceremony will now be held in March 2020.
Meanwhile, the ministry has now confirmed 15 cases of measles.
It is warning people to avoid all unnecessary travel to the at-risk areas of Serua/Namosi and Nasilai Village in Nakelo, the site of the latest confirmed case.