The pair were then presented to his daughter Caroline as a wedding gift.
In 1990, the descendants gifted the birds to the Gallery of History but the female of the pair was stolen from the display case in July 2020, which upset volunteers.
One man, Dean Mudgway, was arrested and subsequently imprisoned for 19 months for the theft as well as other charges.
He later said in a restorative justice meeting that he'd taken the huia to pay off a drug debt.
Police confirmed the find but said it still had to be identified by the museum.
Area commander Tracey Thompson said Wellington District police had recovered the huia.
She said they received information about the potential whereabouts of the preserved bird in May.
"On the 27th of May 2022, officers searched a residential address in Paraparaumu and recovered it.
"Upon recovering the huia, we informed the gallery and the local iwi, who were very relieved to hear of this development."
Thompson said inquiries into the theft and recovery of the huia were ongoing and they were unable to provide anything further on the investigation.
"We are working closely with mana whenua in Kāpiti, Ātiawa ki Whakarongotai and Ngāti Huia ki Porotawhao in Horowhenua, on the return of this taonga to the gallery. We welcome the support and guidance from iwi on this important process to ensure that appropriate protocols are observed."