Birmingham City Council said it was aware of the incident and that its thoughts were with the people who had been injured.
The Health and Safety Executive was informed and said it appreciated the concern around the incident and was working with the relevant authorities.
“We also have specialists attending the site today. There will be an investigation to establish what happened,” a spokesperson added.
Brian Hughes, chairman of Westside Business Improvement District (BID), said: “While we are relieved to have heard that no-one has received life-threatening injuries, this must have been a terrible incident to experience.”
He said Westside BID had spoken to the owners of Ice Skate Birmingham, which operates the ride.
“We know that they will now be working closely with the authorities to find out exactly what went wrong,” he added.