Many protesters refused to leave, despite being warned they were trespassing and risked being arrested.
A large number reacted by lighting fires, tearing up paving bricks and throwing them at police officers, who managed to take the grounds back by the end of the day.
Police last week arrested and charged a 29-year-old man with intentional damage and doing a dangerous act with intent - both of which related to the fires lit on Parliament grounds. A 29-year-old woman was also charged with doing a dangerous act with intent and rioting.
In the Nelson District Court today duty lawyer Ian Miller said the pair, who lived as a couple but were charged separately, had engaged a Wellington lawyer to act for them.
Judge Jo Rielly said in response to the request for name suppression that she had to be satisfied there was an arguable case around the reasons.
Miller said the charges arose from an event involving a large number of people, and time was needed to gather evidence. He said public exposure at this point would also constitute "significant hardship", but as duty lawyer he did not have a great deal of instruction.
Judge Rielly noted the pair did not oppose the case being transferred to Wellington, but because they were unable to travel back and forth due to cost, they were advised to sort matters early ahead of their next scheduled appearance via AVL.
She also said the test to keep name suppression at their second appearance would be different than at their first appearance today.
The pair were remanded on bail to June 13, with conditions including they not travel to Wellington, except to attend court.