The fire broke out on Saturday (8 June) at 3.15pm in the venue's roof space, work on which was completed in May last year.
The Hydro, a £125m project which will form part of the Scottish Exhibiton and Conference Centre in Glasgow, was scheduled to hold a Rod Stewart gig in September but its owners will have to wait for an assessment this week to judge whether this, and other events, will be possible.
Siobhan Hynes, a communications & events officer at Strathclyde Fire & Rescue confirmed that there were no casualties. She said that the fire was out by 5.15pm, and needed the help of 40 firefighters and three aerial appliances.
Meanwhile, police in Scotland are investigating the cause of the fire.
The news follows an announcement last month that the opening date of the venue has been delayed by two weeks. The SECC denied that date changes were caused by construction delays.
Update: Statement from the SECC:
"The SECC were advised by Lend Lease, the main contractor for The SSE Hydro, that a fire broke out at the venue on Saturday 6 June at around 15.15. Strathclyde Fire and Rescue attended the fire and it was swiftly put out. We are grateful for their attendance and professionalism. We are also pleased to report that no-one was hurt. Lend Lease are assessing fire and water damage, remediation and programme implications in the week ahead and will advise us once they have completed their work. Following discussions with promoters, we will be looking to make an announcement regarding the opening programme week commencing 17 June."