"Moko was determined to best fit the criteria and conjure up a sense of tūrangawaewae for all to connect with and enjoy."
Foster said the tree reflects the importance of preservation.
"This rimu has seen off predators, diseases and human development in its 800 years on this site and will continue to do so thanks to our committed team."
Events are being held across Wellington this week to celebrate Matariki, including a fireworks display at Waitangi Park on Saturday at 6.30pm.
Te Papa will host several activities including virtual Kapa Haka, music performances and art workshops.
The museum has hosted the Taikura Kapa Haka event for several years annually, but this year's event will be held online.
Te Papa Kaihautū, Dr Arapata Hakiwai said each of the groups involved has recorded their bracket for people to enjoy.
"We know everyone will relish these wonderful performances celebrating Taikura Kapa Haka."
There will also be weaving workshops and a mini Māoriland Film Festival, with Te Papa's main foyer transformed into a marae-style cinema.