Nunkuwarrin Yunti of South Australia was initiated in the 1960s by Mrs Gladys Elphick, who founded the Council of Aboriginal Women of SA, one of the first Aboriginal organisations in the state. Incorporated in 1971, Nunkuwarrin Yunti evolved from the Aboriginal Cultural Centre, the Aboriginal Community Centre of SA and the Aboriginal Community Recreation and Health Services Centre of SA.
Their first program was established with the aid of donations, some government funding and the services of a dedicated doctor. They also accommodated the Aboriginal Legal Rights Movement, Aboriginal Child Care Agency, Aboriginal Sobriety Group Inc, National Aboriginal Congress, Aboriginal Hostels Ltd, Trachoma and Eye Health Programme, WOMA, Aboriginal Housing Board, Aboriginal Home Care and Kumangka Aboriginal Youth Service. They also assisted with the establishment of the Elders Village. They became known as Nunkuwarrin Yunti of South Australia Inc in 1994. It is community controlled and governed by an all- Aboriginal and Torres Strait Islander Board. This ensures the delivery of culturally appropriate services to Aboriginal and Torres Strait Islander people by Aboriginal and Torres Strait Islander people. It has grown from a welfare agency with three employees to a multi-faceted organisation with over 130 staff, who deliver a diverse range of health care and community support services and is a registered training organisation.