Police and emergency services were called to a flat in Clarendon House, Hove on Saturday, August 21 at 3.20pm to reports of a woman on the roof of the building screaming for help.
The woman had climbed out of her flat to escape a dog which had attacked her.
Inspector Diane Lewis of Sussex Police Dog Unit said: “This was a nasty attack and our trained dog unit officers had to force entry into the property. The dog was removed from the premises and destroyed.
“Sussex Police take positive action regarding any report of a dangerous dog and will deal with each incident individually and with any offences that come to light.”
The woman was taken to the Queen Victoria Hospital, East Grinstead, where she is being treated for injuries to her face and legs.
Because the attack happened on private property and the dog is not a dangerous breed, there will be no further action from Sussex Police.