A direct descendant of a lower North Island chief, who signed the Tiriti o Waitangi, says the founding document should be housed at Te Papa Tongarewa, or go on tour.
Archives New Zealand is considering boosting the profile of the original 1840 document by relocating it to the National Library, which is being refurbished.
A descendant of Muaupoko chief, Tauheke, is Philip Taueki, who says he'd like to see the historical deed housed in the National Museum, Te Papa or go on a roadshow across the motu.
He says while it's on tour consultation with iwi can get underway and they can talk about where the document should be displayed in the long term.
The Treaty is currently on show at the National Archives building on Wellington's Mulgrave Street and the Government says it could be moved to the National Library next year.
The Minister Responsible for Archives New Zealand Nathan Guy says the new location is expected to bring in more than 200,000 visitors, compared to about 27,000 people who visit Archives New Zealand in a year.