Police will not press charges against independent MP Catherine Cumming after she told a weekend rally Premier Daniel Andrews should be turned into "red mist".
Ms Cumming is a member of the Victorian Legislative Council for Western Metropolitan Region and aligned herself with the Angry Victorians Party (AVP) in November.
"In the army we would call it pink mist, but I want him into red mist," she said.
"Give anyone here in the army a job to blow someone up and they will."
The Macquarie Dictionary describes "pink mist" as a military term referring to "the spray of blood resulting from the violent impact of a shot, explosion, heavy object … on a human victim".
The report was condemned by several politicians, including Opposition Leader Matthew Guy, who called on Ms Cumming to apologise.
Ms Cumming later denied she was calling for "any physical harm to come to Daniel Andrews" and claimed she only wished for the Premier and his "red-shirts brigade" to be blown up "at the ballot box".
On Saturday, police said they were investigating a report of "inciteful behaviour" in the wake of the speech.
In a brief statement on Tuesday afternoon, Victoria Police said it had completed its assessment of Ms Cumming's reported comments and "determined that no offence has been committed and Victoria Police will not be taking the matter any further".
In comments over the weekend, the president of Liberty Victoria, Michael Stanton, said there was "no need" for Ms Cumming's "inflammatory rhetoric".
"The state election should be a contest of ideas," he said.
"We've seen in the past … how inflammatory rhetoric can unfortunately result in very unfortunate and sometimes even tragic circumstances."