The couple had been engaged for three years but Ms Brown called it off three years before the attack. She was living with her parents and brother at their Tauranga home when Tamati carried out his attack.
Mason appealed against his conviction on the basis he should have been dealt with in accordance with tikanga Maori.
In its decision, the Court of Appeal said it had concluded that the Maori system for dealing with wrongdoing relied on by Mason had been extinguished by the Crimes Act 1961 and the provisions of that act accordingly applied to Mason.
"It follows that there is no basis for setting aside Mr Mason's guilty pleas and his conviction must stand."
After he was charged, Mason said he was "constitutionally immune" and could not be tried in a New Zealand court.