A man has been charged with tampering with the memorial of murdered Victorian woman Eurydice Dixon.

Victoria Police said in a statement on Thursday it had arrested and charged a 31-year-old man for the graffiti damage to the memorial site at Princes Park, Carlton North.

The man was charged with criminal damage, offensive behavior and marking offensive graffiti.

He will appear in court on August 10.

AAP

The resident of Bulleen was arrested Thursday morning after a search warrant was executed.

Ms Dixon was raped and killed on her way home from a comedy show at the Highlander Bar in the CBD on Tuesday night.

She reportedly sent her boyfriend a message saying "I'm almost home safe", but never made it.