Deputy Prime Minister Grant Robertson says although people have a right to protest when "they threaten, harass and disrupt people and a whole city they lose that right".
In a post on Facebook, Robertson - who is also MP for Central Wellington and Finance Minister - said he was contacted by many constituents last week who were distressed at what was happening in the city.
"School pupils spat at and harassed for wearing a mask, roads blocked delaying public transport and emergency services and businesses shut down," he said.
Robertson said there had also been threats of violence against politicians and the media.
"Looking down on a protest that wants to hang me as a politician, a sign that compares the Prime Minister to the March 15th terrorist, calls for arrest and execution of me and other leaders you might understand why I believe the Police need to move them on."
Robertson acknowledged that protest is an important part of democracy, but said that "like all freedoms it comes with responsibilities".
He said in the past he has led protests onto Parliament grounds and discussed with those involved that if they crossed certain lines they would be arrested.
"I was always of the view that the cause or the issue was what mattered most, and we would strive to make our point, and then move on to live to fight another day," he said.
Robertson said people lose the right to protest when "they threaten, harass and disrupt people and a whole city".
He said the protesters at Parliament have been trespassed and need to leave.
Robertson thanked police for doing a difficult job in trying conditions and said it was up to them as to how they enforced the law.
He said as Wellington Central's local MP he has been in regular contact with police and the city council to support the rights of those in the capital "to go about their lives free from harassment and severe disruption".
"I am confident that this will happen, though it will no doubt take some time," he said.
Robertson said the high vaccination rates reassured him that the protesters only represent a small minority.
RNZ
