Firefighters were called to Skirving Street in Shawlands at around 8.30am this morning.
The fire was extinguished by 9.45 and crews remained at the scene to make the area safe.
One woman has been taken to the Queen Elizabeth University Hospital for treatment. Her condition is unknown.
A spokesman for Scottish Fire and Rescue Service said: “The Scottish Fire and Rescue Service was alerted at 08:33 on Wednesday, April 3 to reports of a fire within a first floor flat in a four storey block on Skirving Street, Glasgow.
“Operations Control mobilised four fire engines and an aerial appliance to the scene where firefighters assisted two people from the building before handing them into the care of the Scottish Ambulance Service.
“The fire is now extinguished and crews remain in attendance as they work to make the area safe.”