Officers responded to reports of a stabbing at a block of flats in Arthur Road in the early hours of Sunday morning.
A 22-year-old man from London and a 23-year-old man from Crawley have been arrested on suspicion of the murder of another man in his twenties.
The investigation is currently ongoing, and members of the public are asked if they have any information which could assist the police with their enquiries, then to contact them on 101.