A hydraulic lift was used to rescue a woman after the fire broke out in a block of flats in Eglinton Street, in the South Side.
She was taken to the nearby Victoria Hospital and received treatment after breathing in smoke.
The flames caused extensive damage to the four-storey building and forced road closures.
It is believed the blaze started in the Fish And Chicken Bar takeaway, which has been virtually destroyed.
The alarm was raised about 2pm and fire crews from Calton, who were wearing breathing apparatus, searched all the properties.
Back-up crews from Springburn, Polmadie, Milngavie, Cowcaddens, Yorkhill and Castlemilk, were also called to the scene.
Assistant Chief Officer Lewis Ramsay said: "Firefighters quickly evacuated the premises and there have been no reports of serious injuries."
Fire crews remained at the scene throughout the night and roads around the building remained cordoned off.
Eglinton Street was closed southbound at Devon Street, and Pollokshaws Road was closed northbound at Coplaw Street.
Glasgow City Council advised road users to expect delays and, if possible, use alternative routes.
Buses travelling along Eglinton Toll, which is the main route from the South Side into the city centre, were also affected.
It is not clear when the roads will re-open.
A spokeswoman for Strathclyde Fire and Rescue said: "Eight appliances were dispatched to the scene and additional crews were then sent due to the scale of the fire."