A southern Tasmanian council is investigating the deliberate poisoning of nearly a dozen trees that authorities suspect were targeted to improve the coastal view.

The Clarence City Council says the trees, which are located on Hobart's eastern shoreline, were found drilled with holes of varying sizes for the purpose of administering poison. The council has referred the incident to police.

An arborist reported the estimated total value of the native trees to be almost $200,000 dollars