COPS shot an XL Bully dead after it went on the rampage and left a woman needing hospital care.
Police said the animal was dangerously out of control and had attacked other members of the public.
They added that attempts to regain control over the beast failed, even using specially trained officers.
Killing the dog was the “last possible option”, they said.
Dramatic footage of the incident on Friday night appears to show two armed officers chasing the hound down the street and firing around seven shots.
One resident in Eccles, Gtr Manchester, said: “You don’t expect to see a police officer running down your street shooting at a dog.
“Any one of those shots could have ricocheted into a house. Some of the neighbours and myself had our cars damaged and my sister was in the house and she was very distressed.”
Two men were arrested after confronting officers.
Police said enquiries regarding the XL Bully’s owner were ongoing.
The breed became subject to strict ownership rules this year following a string of attacks.
A police spokesman said: “Due to the risk and harm it was causing as a banned breed, it was destroyed.”
