Fire crews were called to Govan this morning around 6am.
Six appliances rushed to the scene on Elder Street and a number of residents were evacuated and treated for smoke inhalation.
One man has been taken by ambulance to the Queen Elizabeth University Hospital as a precaution.
Firefighters remain at the scene as they work to extinguish the blaze.
A spokesman for the Scottish Fire and Rescue Service confirmed they were in attendance after receiving reports at 6.12am.
READ MORE: Elder Street fire sees Govan man rushed to hospital
It comes just days after a fire at a home on the same street.
A 52-year-old man was hospitalised after a blaze around 9pm on Sunday.
A Police Scotland spokeswoman: "A number of residents were evacuated from the flats and were treated at the scene for smoke inhalation.
"At this time, only aware of one man - no age - that has been taken by ambulance to the Queen Elizabeth University Hospital as a precaution.
"Residents have been allowed back in to their flats except for the occupants of a ground floor flat where the fire originated."
Officers are continuing investigations into the cause of the blaze.
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