"I had to shoot animals that had their entire faces chewed off," he said.
"They were seen attacking the sheep this morning and followed back to the owner's place."
He said the council was reluctant to take a hard line on stray dogs because of adverse publicity from the way they were historically treated in council kennels.
A council spokesman said that was incorrect.
"Council dog-control staff have not received any instructions along the lines of the assertion made by the property owner," the spokesman said.
"All straying/uncontrolled dogs are picked up and all unregistered dogs are impounded.
"A registered dog that is picked up may be returned to the owner rather than impounded if it is the first instance of it being caught.
"However, if there is any suspicion that it has been involved in any kind of attack, it is impounded while investigations are carried out."
Police said the dogs were from a Tenby Terrace house 400m from the attack site.
"They have just run across a park and into the paddock - it is not far from where they live," a spokesman said.
"We believe they were responsible for the previous attacks."
Two men in a silver ute - possibly forestry workers - alerted neighbours to the attack.
Police would like them to come forward to help with their investigation.
