Firefighters say they were called to blaze at a a highrise on Jasmine Cres. just after 12:30 a.m. Friday.
They discovered heavy smoke and fire in a garbage area in the building when they arrived.
Due to the number of occupants in the building, a second alarm was called in.
Crews were on site until roughly 2:00 a.m. ventilating the smoke from the area.
No injuries were reported, and there's no word yet on the cost of the damages.
Jasmine Crescent was the site of several violent incidents last year.
It is also in the east end, where the Arson Unit has been investigating several suspicious fires over recent weeks.