The incident occurred at round 12am on Sauchiehall Lane, the place the 21-year-old girl was attacked.
Emergency companies rushed to the scene shortly after.
The world has been cordoned off by police with investigations into the incident ongoing.
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A Police Scotland spokesperson mentioned: “Between 12am and 12.10am on Saturday, 14 Might, officers acquired a report of a 21-year-old girl having been sexually assaulted close to to Sauchiehall Lane, Glasgow.
“Enquiries are at an early stage and are ongoing to ascertain the precise circumstances surrounding the incident.”