As part of the demolition of the bridge over York Road, a concrete section of the bridge was lifted by a crane onto a lorry last night.
It was placed onto the vehicle, but the lifting mechanism failed - causing it to collapse on the road.
Leeds City Council has released a statement following the incident.
It said no one was injured when the concrete structure fell onto the road.
In a tweet, the council said: "Essential work to demolish and rebuild the northern section of Regent Street Flyover is currently ongoing.
"Last night, a concrete section of the demolished bridge was being lifted onto a specialist trailer to be disposed of and recycled away from site.
"It was safely placed onto the heavy load vehicle however there was failure of the trailer, causing the piece of bridge to shift from its resting position.
"It is now being broken up for safe removal and will be cleared from the site by lunchtime.
"There were no accidents or injuries as a consequence of the trailer system failing and work will continue to demolish the bridge over the coming days."
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