"We would like to express our thanks to the kaumātua for their efforts and willingness to assist with the safe resolution of the incident."
The prisoners have been up on the roof of the high-security section of the Waikato prison since noon on Tuesday, when they rioted and lit several fires in the exercise yard.
Corrections say the prisoners remain within the secure perimeter of the "top jail" facility and "there is no risk to public safety".
Initially, 21 prisoners were on the roof of the prison after the riot, but four have since surrendered.
"We are continuing to engage with the prisoners to encourage them to cease their action," a Corrections spokesperson said.
"We are concerned that they are putting themselves at significant risk by remaining where they are. Damage to the building is significant."
A third of the prison's bed capacity has been destroyed.