Stephen James Linley, aged 33, from Leeds, died at the scene after the collision in Black Bull Street near the junction with Armouries Way at about 9.40pm on Friday.
He was crossing the road when he was involved in a collision with a black BMW 325 car.
The driver, a 25-year-old man, from Batley, was arrested on suspicion of causing death by dangerous driving. He was interviewed and later released under investigation pending further enquiries.
Sergeant Fiona Hoodless, of West Yorkshire Police Major Collision Enquiry Team, said: “We have appointed a family liaison officer to support Stephen’s family at what is understandably a very difficult time for them.
“We are carrying out extensive enquiries into the incident and we have spoken to a number of witnesses.
“We are still keen to speak to anyone who witnessed the circumstances of the collision itself or who saw the movements of the black BMW 325 in the time leading up to the incident.
“We would particularly like to hear from anyone who was driving in the area at time and has any dashcam footage that could assist the investigation.”
Anyone with information is asked to contact police via 101 quoting Operation Pikeview or reference 13180511708.