Billy Mankelow was found in a railway arch, on Swinegate near Commercial Garages, at 03:20 BST on Saturday. Police said he had been assaulted.
The 20-year-old from Tonbridge, Kent had surgery but died on Sunday.
A 31-year-old man from Leeds has been arrested on suspicion of murder and is being held in police custody.
Det Insp Mick Jackson, of British Transport Police, said Mr Mankelow had been living in the Hyde Park area of Leeds.
He added: "Our thoughts are with Billy's family at this difficult time."
A man has been arrested on suspicion of murdering a 20-year-old found with severe head injuries near Leeds railway station.