Two men who allegedly left threatening messages on the phone of West Australian Premier Mark McGowan are facing charges.

It comes as the premier and his staff deal with growing fallout over the introduction of wide-reaching COVID-19 vaccination mandates.

Police allege the men, aged 18 and 20, phoned the premier late on Saturday and left a number of threatening messages.

They have been charged with acts creating false apprehension as to the existence of threats or danger and bailed subject to strict protective conditions.

Both men are scheduled to face Armadale Magistrates Court next month.

The premier’s personal phone number leaked last month and is believed to have been shared in anti-vaxxer group chats.

Mr McGowan last week revealed he had indefinitely closed his electorate office in Rockingham, south of Perth, amid security concerns.

“There’s been death threats, there’s been threats to rape my staff, there’s been people threatening to bomb my office,” he said.

“Someone turned up with an armoured car with a machine gun on the top. This is unbelievable conduct and so unfortunately that’s what I’ve had to do.

“To target people’s staff and their families is unfair. Unfortunately that’s the way these people are conducting themselves, so I just ask them to stop and act like reasonable human beings.”

Police on Sunday were forced to hold back a crowd of anti-vaxxers who swarmed the premier’s car as he attempted to leave a town hall event in the southwest town of Bunbury.

The premier’s Rockingham home has also been targeted by protesters.

Several other cases remain before the courts, including that of a man charged over online threats to kill Mr McGowan and other political leaders.

Mr McGowan has insisted he won’t be deterred from getting as many people vaccinated as possible.

– AAP