Emergency services were called to Glenfinnan Road in the Wyndford area on Saturday morning.
A 27-year-old man was taken to hospital by ambulance to be treated for his injuries.
An investigation has been launched, but the force does not believe there to be any suspicious circumstances surrounding the incident.
A Police Scotland spokesperson said: “Officers in Glasgow received a report of a man having fallen from a balcony on Glenfinnan Road around 6.30am on Saturday, June 1, 2024.
“Emergency services attended a 27-year-old man was taken to Queen Elizabeth University Hospital by ambulance.
“Enquiries are ongoing however there are no apparent suspicious circumstances.”
