Counter-terrorism police have arrested another man in connection to the so-called 'Tinnie Terror' group accused of plotting to take a boat to Indonesia in a bid to join Islamic State.

The Victorian Joint Counter Terrorism Team arrested the man during an operation in Melbourne's north-west on Friday morning, the Australian Federal Police said.

The five men who were allegedly intending to head to Indonesia in a small boat. From left Musa Cerantonio, Paul Dacre, Shayden Thorne, Antonio Granata and Kadir Kaya.

Murat Kaya, 25, has since been charged on suspicion of terrorism-related offences, specifically concerning incursions into foreign countries to engage in hostile activities.