A southern Tasmanian council is appealing for public help, as police investigate the poisoning of dozens of trees at a park that has recently been rehabilitated.

Drill holes have been found at the base of almost 40 eucalyptus and wattle trees in a park at Kettering south of Hobart.

The find has been labelled an act of "environmental vandalism" by the Kettering Community Association.

The trees block the water views of some residential properties and it is possible this was the motivation behind the poisonings, the association's secretary, Stephanie Hay, told 936 ABC Hobart.

"There are a number of houses but I'm not pointing fingers," she said.

"Obviously it took a long time to drill quite so many trees, so many times.

"Unfortunately it's one of those situations where you can [only] speculate."

The small park in Kettering which has just been restored where dozens of trees have been poisoned in an act of "environmental vandalism". ( Supplied: Kettering Community Association )

Ms Hay said she counted 39 poisoned trees, but suspects there may be more.

"They have multiple drill holes near the bases and some actually have them half way up their trunks in very obvious places and they're now dying, which is very sad to see," she said.

"It's a beautiful stand of well-established trees, gums and wattles, that should be in full bloom but unfortunately are not."

A number of holes have been drilled in the base of trees and poison has been poured in. Experts say the trees will slowly die. ( Supplied: Kettering Community Association )

The park was restored over the past year by a local Landcare group.

Locals at Kettering on the D'Entrecasteaux Channel are said to be distressed as they watch the established wattles and gum trees slowly die.

Deputy Kingborough Mayor Paula Wreidt said the council was told about the vandalism at a meeting on Monday night.

"And we were just all horrified about the senseless act of wanton vandalism for want of a better term," she said.

"There seems to be no rationale behind it and so we are really urging members of the public who might have seen anything suspicious in that area to come forward."

The Kingborough Council's natural resource manager has conducted an initial inspection of the drill holes in the trees.

Alderman Wreidt said the council was working actively with police to track down the person or persons responsible.

"We're hoping by talking about it, it might actually prompt someone to say, actually I did see something in that area around this time," she said.

"There's no doubt it was deliberate and it's very distressing for the local community who have worked hard to rehabilitate that area."