Victoria's Local Government Minister has been called on to stop the anti-Islamic social media activities of a Latrobe city councillor in the state's south-east.

Cr Christine Sindt has refused to remove a series of anti-Muslim posts on her Facebook page which link Islam to terrorism.

On Sunday, she posted an image of herself at the Reclaim Australia march in Melbourne, holding a poster which says "I love bacon, not paedophilia".

Her colleague, Cr Kellie O'Callgahan, said Cr Sindt was entitled to her own opinions but not in Latrobe City's name.

"To then post that image on her Facebook page and to continually endorse other items within her own social media pages under the banner of her councillor title is inappropriate," she said.

"It is outrageous and the Minister now needs to intervene and now do something about this immediately."

When contacted by the ABC recently, Cr Sindt said: "My Facebook page reflects my personal views".

Local Government Minister Natalie Hutchins has been contacted for comment.