Surrey Police is reminding dog owners their pets could be shot and they could be prosecuted if their animals worry livestock.
The stark warning comes after last week's fatal attack on three sheep in Blindley Heath.
Three animals were discovered dead at a farm on Byers Lane at 7.30am last Monday, and another three had been seriously injured.
Neighbourhood specialist officer Sarah Warner said: "It is totally unacceptable for dogs to attack and maul livestock and for their owners to allow them to be so dangerously out of control.
"Discovering their sheep have been killed is not just upsetting for the farmer but also costs them financially, as well as the vet bill for the injured animals.
"Most dog owners don't realise their pet could be destroyed if the dog is found worrying livestock and I would like to at the time is guilty of an offence under the Dogs (Protection of Livestock) Act 1953 and may be sued for compensation by the farmer.
PC Warner added: "It is so important dog owners are responsible at all times when walking their dogs close to fields of livestock and if you live in the countryside or near fields with animals grazing make sure your garden is secure.
"Worrying livestock relates not only to sheep but to horses, cattle, goats, poultry and pigs, and I am urging dog owners to be responsible whilst out walking and ensure their dog is kept on a lead when near livestock."
Alerts have been circulated by the local Safer Neighbourhood Team to other farms in the area on the CountryWatch scheme.
Anyone with information on the incident is urged to contact Surrey Police on 101 quoting reference P13276931.
