Dhambit Munuŋgurr was born in 1968 to Mutitjpuy Munuŋgurr (1932-1993) and Gulumbu Yunupiŋu (1945-2012). Her father was the first artist to win the award with a bark painting in 1990, and her mother won the award in 2004. Her father was one of the members of the Dhuwa moiety who contributed to the Yirrkala Church Panels (which would lead to the creation of the Yirrkala bark petitions of 1963), and served as a great inspiration for Munuŋgurr. In 2004, Munuŋgurr became the first Yolŋu woman to graduate as a tour guide in Yirrkala.
In 2005, Munuŋgurr was hit by a truck, leaving her needing a wheelchair and unable to use her right hand to paint. Before the accident, she had begun painting in 2004, and was credited in the film Yolngu Boy (2000). Her recovery consisted of a Western treatment and traditional healing practices, and she entered an intensive rehabilitation program in 2011 at Epworth Rehabilitation in Melbourne, Victoria. When returning to painting in 2010, she trained herself to paint with her non-dominant left hand with her condition slowly improving. Her favoring of blue acrylics was an effect of the accident, with NATSIAA curators agreeing she could no longer grind traditional ochres used for bark painting with her limited dexterity in her right hand.
Her work was acquired by Artbank in 2018 in a collection which details Munuŋgurr's life and her familial ties. At the top, her maternal grandfather Mungurrawuy Yunupiŋu is pictured, and further down her uncles Galarrwuy and Mandawuy are shown. Her mother, Gulumbu Yunupiŋu, is represented through the stars which show what she had painted on the ceiling of the Musee du Quai Branly in Paris, France. Lastly, Dhambit herself is represented as a monolithic rock on Elcho Island.