West Yorkshire Police Chief's Superintendent Owen West praised the actions of those involved in the incident after the bus driver parked his vehicle beneath the bridge.
Police and passers-by then appeared to help the man.
Posting on Twitter, user Malik Walton said: "Dramatic rescue on a #Leeds bridge. Man saved by heroic action of passers-by, a bus driver and police officers."
Then Chief Supt Owen West added: "Typical of the range of incidents this week so far, many people living in crisis. Grateful to the passers by and all involved in resolution."