A targeted eradication programme has been undertaken around the heritage tree, in an attempt to prevent any damage.
"This old tree's root structure must not be compromised in any way by the rabbit's tunnelling.."
While many would be happy to see the back of their tiny white tails, one resident was upset by the culling of, "innocent creatures".
"There's nothing the matter with the hydrangeas or roses, there are just a few little bunnies running around," Gaye Wilson said.
As someone who regularly walked in the park, she was concerned measures introduced to remove the wild population would be more detrimental than their presence - voicing her particular concern for schools in the area.
HDC wanted to assure park users that control measures did not involve the introduction of calicivirus, and would not harm their dogs or cats.
"The eradication agent is not toxic to pets or humans and was carried out by a registered pest control company," Mr Hosford added.