Officers found the man with several stab wounds after they were called to an address in Kenton Way in the Holme Wood area of the city in the early hours of Saturday.
The man, who was in his 20s, died at the scene.
A West Yorkshire Police spokesman said: "Arrests have been made and enquiries are continuing."
West Yorkshire Police's Homicide and Major Enquiry Team (HMET) is leading the investigation.
Tong ward councillor John Ruding said: "I am extremely sorry that the incident has occurred and for the family of the young man who has tragically died."