Moira Council had been pushing for the dogs to be euthanised after three separate incidents involving the dogs over 12 months.

Building, safety and amenity manager Peter Phillips said the "sad case" highlighted the importance of good animal management.

"In May 2019, a Numurkah resident returned home to find two dogs wandering in the back yard of the property," Mr Phillips said.

"The dogs were described as one being a large grey wiry-haired type, the other being of a similar size with black and brown markings.

"The resident took photographs of these dogs before they escaped from the property under a boundary fence."

Mr Phillips said the resident then noticed a chicken coop on the property was badly damaged, with seven dead chickens "strewn" around the back yard.

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"Another badly injured chicken was found and had to be euthanised," he said.

In June 2019, the council investigated a separate complaint about dogs being kept at a property at Numurkah.

"Five dogs were observed at this property, with two of the dogs matching the description and photographs of the dogs allegedly involved in the chicken attack in May," Mr Phillips said.

The owner was charged with 12 offences and in court this month was fined and ordered to pay costs in excess of $8000 with the two dogs ordered to be put down.

"The devastation unrestrained dogs have on farmers, herd animals and not to mention our pets and native wildlife is immense," Mr Phillips said.

"There is also a danger to the public with the risks of attacks on individuals and in particular small children."