Wellington District Commander Superintendent Corrie Parnell said police are working with Wellington City Council to seek "disestablishment" of food trucks and others bringing food to the Parliament protest, under council bylaws.
He said banning food trucks and volunteers supplying food is "certainly an option" and they're in dialogue with council about it.
He said they have not observed far right groups in the protest or identified any national security risks.
Regarding the video that appeared to come from Parliament grounds, shared by a white nationalist group, he said that investigation has been resolved and no member of that group has access to Parliament property.
Police's strategy is not to 'wait out' the protestors.
"There are multiple facets here... We've had real difficulty in terms of the task at hand... A range of vehicles from a heavy truck to campervans.
He said frontline police resourcing "has been left untouched" - it has not been affected by the need for personnel at Parliament.
Officers nearing graduation from police college have been deployed at the front line, he said.
They are police officers and have the power to arrest, he said.