More than 40 firefighters tackled the blaze at the five-story building in Glasgow in the early hours of this morning.
Two children were among those taken to safety in Roslea Street, Dennistoun, the Scottish Fire and Rescue Service said.
Incident Commander David Proctor said: "The rapid actions of the initial attending fire crews at the scene ensured that rescues were carried out quickly and that is the reason in this particular instance there are no casualties.
"This was a well developed fire which had spread into the roof space of a building measuring 20 metres by 30 metres and this can present many complications for fire crews."
Emergency services were called at 1.25am to the fire in the east of the city.
Eight of the total 33 residents were lifted to safety from the upper floors.
None of the residents was injured, the fire service said.
A temporary shelter was set up at Whitehill Secondary School.
Police Scotland said a total of 130 people were evacuated from the building and neighbouring homes.
An investigation is under way into the cause of the blaze.
A police spokesman said on Sunday: "Anyone who witnessed a person or persons acting suspiciously in the area prior to 1.25am today is asked to contact police on the non emergency number 101 or Crimestoppers on 0800 555 111.