The 31-year-old, who has not been identified, was attacked on Windsor Crescent in Middlecliffe just before 5pm on Sunday.
She was pronounced dead when police arrived at the scene.
A 40-year-old man has been arrested on suspicion of murder and remains in custody.
There will continue to be an increased police presence in the area today as officers continue to carry out enquiries.
Anyone with information about what happened is asked to call 101 or Crimestoppers anonymously on 0800 555111. Please quote incident 471 of 29 March when passing on information.