When officers attended the scene, they found a deceased male with facial injuries, a police spokesman said.
Police have since said the injuries appeared to be consistent with an assault.
A third male, 34, was arrested from a separate address in the Great Horton area of Bradford a short time later, also on suspicion of murder. All three suspects remained in custody last night while inquiries continued.
Anyone who may have information which may assist with the investigation is asked to contact the team on 101, quoting crime reference number 13170528561, or to Crimestoppers, anonymously, on 0800 555111.