A Melbourne man on trial for planning terrorist acts allegedly told others he wanted to cut the throats of people in the CBD and create a "line of dead lefties", a court has heard.

Key points: Phillip Galea planned to target left-wing groups and Muslims, according to the prosecution

Phillip Galea planned to target left-wing groups and Muslims, according to the prosecution He allegedly planned to attack Trades Hall, the Melbourne Anarchist Club and the Resistance Centre

He allegedly planned to attack Trades Hall, the Melbourne Anarchist Club and the Resistance Centre He is also accused of preparing a how-to guide to help others commit terrorist acts

Phillip Galea is on trial in the Supreme Court of Victoria for planning to carry out terrorist attacks on three Melbourne targets.

On the second day of his trial, prosecutor Richard Maidment continued outlining evidence including intercepted phone calls, social media posts and text messages between Mr Galea and others.

Mr Maidment told the jury that during one conversation in 2016, Mr Galea said that he wanted to "go around cutting throats in the city centre".

"I want a f***ing line of dead lefties around me," he allegedly said.

Mr Galea was arrested and charged that year after a police raid on his home in Braybrook, in Melbourne's west.

He is charged with planning to commit terrorist attacks on the Victorian Trades Hall Building in Carlton, the Melbourne Anarchist Club in Northcote and the Resistance Centre in the CBD.

The 34-year-old is also charged with preparing a how-to book or document that would help others commit terrorist acts, including making explosives.

Phillip Galea's computer records showed he had searched for explosive chemicals, the prosecution alleged. ( ABC News: Karen Percy, file photo )

The court has been told the Mr Galea was targeting left-wing groups as well as Muslims, and was a member of Reclaim Australia, a right-wing movement.

The prosecutor told the jury Mr Galea also said in recorded conversations to others "I want to be fighter" and that he wanted to "bring militancy" to the right-wing movement.

His search history showed he was researching targets, including buildings and people, as well as chemicals for explosives, Mr Maidment said.

He also said during his opening address that Mr Galea hoped his handbook would inspire "thousands upon thousands of terrorist acts".

Mr Galea's lawyers are yet to address the jury.

The trial continues.