1997 Lorna was granted the Gold Coast City Art Award.
1997- John McCaughey Memorial Art Prize, National Gallery of Victoria
Aboriginal Art Museum, The Netherlands.
Christensen Collection, held by Museum of Victoria, Melbourne.
National Gallery of Victoria, Melbourne.
National Gallery of Australia, Canberra
Australian Heritage Commission Collection, Canberra
Holmes a Court Collection of Western Australia;
Museum & Art Galleries of the NT, Darwin
Gold Coast City Art Gallery, Gold Coast, QLD
Laverty Collection, Sydney
Gantner Myer Collection of Aboriginal Art
Margaret Carnegie Collection
Kerry Stokes Collection, Perth
2005, Lorna Napurrula Fencer: Recent Paintings, Hogarth Galleries, Sydney; All About Yumarrpa, Vivien Anderson Gallery, Melbourne.
1988, People, Place and Art, Hilton International Hotel, Adelaide, South Australia
1991, Aboriginal Art, Australian Embassy, Washington USA
1991, Paint Up Big: Warlpiri Women’s Art from Lajamanu, National Gallery of Victoria, Melbourne
1991, Aboriginal Art and Spirituality, High Court of Australia Canberra, ACT
1994, Yapakurlangu Wirrkardu, Batchelor College, Tennant Creek, Northern Territory
1996, All About Art, Alcaston Gallery, Melbourne
1997, Women’s Body Paint, National Gallery of Victoria, Melbourne
1997, Recent Acquisitions, National Gallery of Victoria, Melbourne
1997, Me Warlpiri, Alcaston Gallery, Melbourne
1997/8, John McCaughey Memorial Art Prize, National Gallery of Victoria, Melbourne
1998, Australian Heritage Commission, Canberra, Australian Capital Territory
1998, Yulyulu, Alcaston Gallery, Melbourne
1998, 6th Australian Contemporary Art Fair, Exhibition Building, Melbourne
1998, Warnayaka Warlpiri, Karen Brown Gallery, Darwin
1998, Wild Warlpiri Women, Coo-ee Aboriginal Art Gallery, Sydney
1999, Australian Embassy in Washington D.C
1999, United Nations Building New York, USA
1999, Yapa, Alcaston Gallery, Melbourne
2000, Lajamanu, Japingka Gallery, Fremantle, Western Australia
2000, Opening of Yuwayi Art Centre, Yuwayi Gallery, Sydney, NSW
2001, Little Gems, Japingka Gallery, Fremantle, Western Australia
2002, Lorna Napurrula Fencer, Japingka Gallery, Fremantle, Western Australia
2002, Lorna Napurrula Fencer – The Big Picture, Vivien Anderson Gallery, Melbourne
2002, Lorna Fencer – Inner Spring – New Works from the Tanami, Mary Place Gallery, Sydney
2003, 20th Telstra National Aboriginal and Torres Strait Islander Art Award, Museum and Art Gallery of the Northern Territory, Darwin.
2004, The Dancers – Warlpiri Women, Art Mob, Hobart; Colour Power – Aboriginal Art Post 1984, The Ian Potter Centre, NGV Australia, Melbourne.21st Telstra National Aborigainal and Torres Strait Islander Art Award, Museum and Art Gallery of the Northern Territory, Darwin.
2005, Decouvrir, Rever, Investir, Australian Embassy, Paris, France.