A first alert went up shortly before 9:00 am (0700 GMT), city authorities said.
"All UCT students don comot from campus", di university tok inside statement wey dem release. Windy conditions, a regular weather feature on the Cape Peninsula, caused the fire to spread and cross the M3 highway, which connects downtown Cape Town to the southern suburbs.
"The fire is currently out of control and we request that all onlookers please refrain from entering the area and keep the area clear for emergency vehicles to pass. People in the Newlands and Rhodes Memorial area must evacuate now".
Mostert's Mill is among the heritage sites destroyed by the wildfire on Sunday.
In another video, tweeted by the local government, flames are seen raging inside an old building lined with columns as smoke plumes rose from its roof.