Three roaming dogs were believed to be responsible for the attacks.
The council’s animal management team found one dog, which was being held while evidence was gathered.
One of the three dogs believed to be responsible returned to the farm on January 20, but was prevented by a neighbour from reaching livestock.
The incident has forced rangers to move the remaining members of the flock to another site to keep them safe, and relocate others to a more visible part of the park.
The council is urging anyone with information to contact them, as investigations continue.
“This time of year is particularly worrying with young, vulnerable stock on all our farms.”
Animal management acting manager Nikki Cripps said they were always grateful to receive calls from visitors and park neighbours.
“It again emphasises the need for responsible pet ownership; dog owners need to know where their dogs are at all times and contain them on their properties,” Cripps said.
“Roaming dogs can present a serious risk, not only to stock but to people, other wildlife and themselves.”
Under the Dog Control Act, it is an offence for dogs to injure, endanger or cause distress to any stock, poultry, domestic animal or protected wildlife.
Investigations are ongoing and a prosecution could follow.
The council is urging anyone with information regarding these incidents to contact 09 301 0101.
LDR is local body journalism co-funded by RNZ and NZ On Air.