A 22-year-old man and a 27-year-old woman remain in police custody.
West Yorkshire Police said the 29-year-old victim was found with serious injuries at a home in Coldcotes Crescent, Gipton, in the early hours of Saturday.
He was taken to hospital but pronounced dead a short time later.
Two people have been arrested on suspicion of murder following the death of a man who was found badly injured at a house in Leeds.