It happened at about 1.27pm on Wednesday, March 17 on Roundhay Road.
A man was walking on the road when he was hit by the bus at its junction with Elford Place West.
He was taken to hospital with serious injuries.
Enquiries are continuing to establish his identity.
Anyone who witnessed the collision, or the movements of either the bus or the pedestrian prior to it are asked to contact the Roads Policing Unit on 101, quoting log 0833 of 16 March.
Support the YEP and become a subscriber today. Enjoy unlimited access to local news and the latest on Leeds United, With a digital subscription, you see fewer ads, enjoy faster load times, and get access to exclusive newsletters and content. Click here to subscribe.