Kelvyn Alp and Hannah Spierer were arrested by police in Christchurch last week. They host the far-right conspiracy theory website Counterspin Media and are accused of distributing an objectionable publication.
Counterspin Media broadcasts conspiracy theories and discredited Covid-19 misinformation.
Spierer (37) and Alp, a 51-year-old whose occupation is listed as 'consultant' and address was given as being in Woolston, Christchurch, each face three charges.
They are jointly charged that on February 23 this year at Wellington distributed a documentary which has been deemed an objectionable publication under the Films, Videos and Publications Classifications Act 1993.
Alp is also charged individually with distributing the documentary.
The New Zealand Herald has chosen not to name the publication which was banned two years after it was broadcast.
Spierer, whose address was also listed as being in Woolston, is also accused of failing to supply identifying particulars, namely fingerprints and photograph, at Christchurch police station on August 25.
When the case was called, the pair both refused to stand in the dock and represented themselves without a lawyer.
They stood at the lawyer's benches while Judge Jim Large ordered them to stand in the dock.
The pair claimed that they are on special appearance, not general appearance, and reserve all their rights.
"I do not argue the law, facts, jurisdiction or venue. I am only here to settle this matter," Spierer said, reading from a prepared script.
They were then forcibly moved into the dock by police officers and court security.
The judge said he intended to remand them on bail on all matters to seek legal assistance if they want. They are due back in court on September 21 and the judge advised that pleas would be required to be entered on that date.
Spierer asked if the judge was "making them an offer" but he remanded them in custody to arrange their bail.
Spierer was still talking as she was led into custody with Alp. Neither wore masks during their brief court appearance.
They were met by a smaller opposing group holding a large sign which reads 'Ka Tū Kotahi Tatou - We stand united with Aroha for Our Muslim Whanau'.
As the smaller group chanted and sang, they were verbally abused, being called, "f****** idiots" and racial comments being made.
Many people livestreamed the crowds outside court, which were held back by court security staff. Many police officers were just inside the building.
- By Kurt Bayer