Police set up two checkpoints, and then followed the vehicle before stopping it near a park.
Using a megaphone, the armed police instructed the occupants of the vehicle to exit and walk backward with their hands in the air, before taking them into custody.
The police were seen conducting a search of the vehicle.
Aberahama said a BB gun that closely resembled a Glock pistol was found during the search and one of the men in the vehicle was wearing a face covering. The occupants of the vehicle were immediately released.
A witness said the occupants appeared to be Māori, and that in their view it was racial profiling by the police.
Aberahama says that 52 per cent of police staff in Te Tairāwhiti are Māori, and this event followed standard operating procedure.
'Absolutely appropriate'
"This was routine policing and an absolutely appropriate response," Aberahama said.
Police had to take any report of a person carrying a firearm in a public place extremely seriously, he said.
"We strongly encourage members of the public to continue to report anything suspicious and we will respond appropriately."