In an incident on Tuesday night, tyre tracks were spread across multiple playing fields at Bathgate Park and the grass ripped up.
Southern Rugby Football Club chairman Blair Crawford said the damage to the field was frustrating.
"Some idiot who thinks it’s a laugh doesn’t realise how much it impacts everybody else," Mr Crawford said.
Dunedin City Council acting group manager, parks and recreation, Scott MacLean said the damage was disappointing and the council would ensure it was repaired as soon as ground conditions allowed.
A decision had not yet been made whether games scheduled to be played on the damaged parts of the ground would proceed this weekend.
A police spokesman said they received reports of at least one vehicle doing skids at Bathgate Park overnight.
Inquiries were being made, he said.
They did not respond to a question about muddy tyre tracks leading to a house on Helena St.
