A Coventry man has been arrested on suspicion of murder.
Officers were called to a tower block in Walsgrave just after 0300 BST on Monday, where the body of a 22-year-old man was discovered.
Police are interviewing a 35-year-old man in connection with the death.
The victim, who was found with stab wounds at Vincent Wiles House in Attoxhall Road, has not been formally identified.
A post mortem was due to be carried out on Monday afternoon.
Detectives said there is no clear motive for the killing and are appealing for witnesses to come forward.