"Two other officers arrived on the shoreline and took off their body armour and their boots and swam out to help the male get into the waka.
"Complete bravery, it was absolutely fantastic."
Mr Raynes said it was difficult to get the man into the waka because he was weighed down with heavy clothes.
The man was taken to Auckland Hospital with hypothermia and injuries from his jump.
The constables suffered minor scratches and cuts to their legs and feet from the rocks on the shoreline.
They had been sent home for the day, Mr Raynes said.
He said the officers showed an "outstanding display of professionalism and bravery" in the cold conditions.
They would be recommended for bravery commendations, Mr Raynes said.