Emergency services were called to a flat in Sutherland Avenue, Bexhill, at about 1.35pm following a report of a stabbing, a spokesperson for Sussex Police said.
A 20-year-old woman died at the scene.
Officers searched the area for the suspect, who is known to the victim, and later arrested a 21-year-old man from Bexhill on suspicion of murder. He is currently in custody.
Detective chief inspector Mike Ashcroft, of the Surrey and Sussex Major Crime Team, said: “We are in the early stages of the investigation and are appealing to anyone who heard any disturbance or saw anything suspicious around this time in Sutherland Avenue to contact police.”
Anyone with information can contact police on 101 or email [email protected] quoting Operation Rockingham or ring the independent charity Crimestoppers anonymously on 0800 555111.
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