The panels will join a rimu wall New Zealand gifted to the organisation when it became a member in 1952.
"Pita conceived the idea for New Zealand to create tukutuku panels for the UN headquarters after leading the New Zealand delegation that signed the UN Declaration for the Rights of Indigenous People four years ago," the current Minister of Maori Development, Te Ururoa Flavell, said.
"He can be immensely proud that his vision has come to fruition."
The woven panels show a mix of traditional and contemporary designs that include: Poutama (Stairway to the Heavens); Patikitiki (The Founder); Mumu (Checkerboard); Roimata Toroa (Albatross Tears); Pohutukawa; Matariki (Pleiades Star Cluster); Nga Rau Ponga (Silver Fern); Kohia (NZ Passionfruit); Mahutonga (Southern Cross); and Te Ra o Nga Hoia (Anzac Poppy).
The tukutuku had been on display at Te Papa in Wellington since July with thousands of local and international visitors viewing them.
Mr Flavell said it was fitting the taonga were going to an organisation responsible for maintaining international peace and security, promoting human rights including indigenous rights and fostering social and economic development.
"While we are accustomed to tukutuku in our whare tupuna (meeting houses) back home, these gifts will soon adorn a global meeting house.
"Their visibility in an international forum, and our recent successful selection to the Security Council, puts us at the heart of the UN."
Mr Flavell paid tribute to Dr Sharples for his initiative and thanked the weavers, Te Puni Kokiri, the Ministry of Foreign Affairs and Trade and Te Papa Tongarewa for their efforts in creating, assembling and exhibiting the panels.
A small group of the weavers will travel to New York early next year to oversee installation of the panels, which will be unveiled to dignitaries including New Zealand's permanent representative to the United Nations, Jim McLay, and former Prime Minister Helen Clark, now administrator of the United Nations Development Programme (UNDP).