The remains — estimated to be from 80 to 100 years old — were discovered in April during the removal of a pine tree in the northeast corner of the cemetery.
Central Otago District Council (CODC) parks and recreation manager Mat Begg said there had been no recorded or suspected burials in that area, and the nearest burial was "a whole block over".
Ground penetrating work had not, and would not, be done in that area, however no more tree clearing work would be continued because of the discovery, Mr Begg said.
"[The Council] was thinking [of] tree clearing along that boundary in the future.
"We will look to leave the area in that corner to the existing perimeter trees as is, as we do not know if there are any other burials."
The human remains were being held by an archaeologist and would be reinterred at the cemetery, Mr Begg said.
The CODC had informed police about the discovery and since the bones were found to be "old", the council had been working with Heritage New Zealand.
The council would check for any other bones on the site before the reinterment, and was also asking for any information from the public about the burial.
Anyone with information can contact Mr Begg on 03-4400654.
