The bust of Tony Abbott that was vandalised last night in Ballarat.
A police spokesman said the heads of two statues honouring prime ministers Tony Abbott and John Howard were spray painted and offensive language was sprayed across their stands sometime between midnight and 2.15am on June 12.
The monuments are along the Prime Ministers Avenue at the Ballarat Botanical Gardens and have since been covered and fenced off after council workers were called in.
"Our city does not condone any form of graffiti or vandalism on its public assets,regardless of people's beliefs or rising public sentiment,and I am certain our residents will be equally as disgusted by these actions,"City of Ballarat chief executive Janet Dore told Nine News.
Images of the damage posted online show the John Howard statue graffitied with the word"homophobe"in red paint.
On the statue of Tony Abbott is the words including"pig".
City of Ballarat councillor Amy Johnson took to social media to express her concern. She said the statues cost between $30,000 and $60,000 to produce.
"Any normal person would be disgusted at the mindless vandalism of the statues in our Botanical Gardens last night,"Cr Johnson wrote.